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High School Math Calculus Glencoe Math Accelerated, Student Edition

The greatest common factor (GCF) of 17 and 42 .

The greatest common factor (GCF) of 17 and 42 .

Glencoe Math Accelerated, Student Edition

Glencoe Math Accelerated, Student Edition

1st Edition

ISBN: 9780076637980

Author: McGraw-Hill Glencoe

Publisher: MCG

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Concept explainers

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

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Question

Chapter 1.1, Problem 21CCR

To determine

The greatest common factor (GCF) of 17 and 42 .

Expert Solution & Answer

Answer to Problem 21CCR

1

Explanation of Solution

Given:

The pair of numbers, 17 and 42

Concept Used:

The greatest common factor, or GCF, of a list of numbers is the greatest factor that divides those numbers.

Calculation:

In order to find the GCF of a list of numbers, firstlist the prime factors of each number. And then identify the common factors from each number. The product of common factors will give the greatest common factor of the numbers. If there are no common prime factors, then the GCF is 1.

Here to find the greatest common factor of 17 and 42 , firstlist the prime factors of each number, as

17=1742=2×3×7

Here, observe that the numbers have no common factorsthem. So, the greatest common factor (GCF) of the pair of numbers is 1.

Chapter 1.1, Problem 20CCR

Chapter 1.1, Problem 22CCR

Chapter 1 Solutions

Glencoe Math Accelerated, Student Edition

Ch. 1.1 - Prob. 1GP Ch. 1.1 - Prob. 2GP Ch. 1.1 - Prob. 3GP Ch. 1.1 - Prob. 4IP Ch. 1.1 - Prob. 5IP Ch. 1.1 - Prob. 6IP Ch. 1.1 - Prob. 7IP Ch. 1.1 - Prob. 8IP Ch. 1.1 - Prob. 9HP Ch. 1.1 - Prob. 10HP

Ch. 1.1 - Prob. 11HP Ch. 1.1 - Prob. 12HP Ch. 1.1 - Prob. 13STP Ch. 1.1 - Prob. 14STP Ch. 1.1 - Prob. 15STP Ch. 1.1 - Prob. 16CCR Ch. 1.1 - Prob. 17CCR Ch. 1.1 - Prob. 18CCR Ch. 1.1 - Prob. 19CCR Ch. 1.1 - Prob. 20CCR Ch. 1.1 - Prob. 21CCR Ch. 1.1 - Prob. 22CCR Ch. 1.1 - Prob. 23CCR Ch. 1.1 - Prob. 24CCR Ch. 1.2 - Prob. 1GP Ch. 1.2 - Prob. 2GP Ch. 1.2 - Prob. 3GP Ch. 1.2 - Prob. 4GP Ch. 1.2 - Prob. 5GP Ch. 1.2 - Prob. 6GP Ch. 1.2 - Prob. 7GP Ch. 1.2 - Prob. 8GP Ch. 1.2 - Prob. 9GP Ch. 1.2 - Prob. 10GP Ch. 1.2 - Prob. 11GP Ch. 1.2 - Prob. 12IP Ch. 1.2 - Prob. 13IP Ch. 1.2 - Prob. 14IP Ch. 1.2 - Prob. 15IP Ch. 1.2 - Prob. 16IP Ch. 1.2 - Prob. 17IP Ch. 1.2 - Prob. 18IP Ch. 1.2 - Prob. 19IP Ch. 1.2 - Prob. 20IP Ch. 1.2 - Prob. 21IP Ch. 1.2 - Prob. 22IP Ch. 1.2 - Prob. 23IP Ch. 1.2 - Prob. 24IP Ch. 1.2 - Prob. 25IP Ch. 1.2 - Prob. 26IP Ch. 1.2 - Prob. 27IP Ch. 1.2 - Prob. 28IP Ch. 1.2 - Prob. 29IP Ch. 1.2 - Prob. 30IP Ch. 1.2 - Prob. 31IP Ch. 1.2 - Prob. 32IP Ch. 1.2 - Prob. 33IP Ch. 1.2 - Prob. 34IP Ch. 1.2 - Prob. 35HP Ch. 1.2 - Prob. 36HP Ch. 1.2 - Prob. 37HP Ch. 1.2 - Prob. 38STP Ch. 1.2 - Prob. 39STP Ch. 1.2 - Prob. 40STP Ch. 1.2 - Prob. 41STP Ch. 1.2 - Prob. 42CCR Ch. 1.2 - Prob. 43CCR Ch. 1.2 - Prob. 44CCR Ch. 1.2 - Prob. 45CCR Ch. 1.2 - Prob. 46CCR Ch. 1.2 - Prob. 47CCR Ch. 1.2 - Prob. 48CCR Ch. 1.2 - Prob. 49CCR Ch. 1.2 - Prob. 50CCR Ch. 1.3 - Prob. 1GP Ch. 1.3 - Prob. 2GP Ch. 1.3 - Prob. 3GP Ch. 1.3 - Prob. 4GP Ch. 1.3 - Prob. 5GP Ch. 1.3 - Prob. 6GP Ch. 1.3 - Prob. 7GP Ch. 1.3 - Prob. 8GP Ch. 1.3 - Prob. 9GP Ch. 1.3 - Prob. 10GP Ch. 1.3 - Prob. 11GP Ch. 1.3 - Prob. 12IP Ch. 1.3 - Prob. 13IP Ch. 1.3 - Prob. 14IP Ch. 1.3 - Prob. 15IP Ch. 1.3 - Prob. 16IP Ch. 1.3 - Prob. 17IP Ch. 1.3 - Prob. 18IP Ch. 1.3 - Prob. 19IP Ch. 1.3 - Prob. 20IP Ch. 1.3 - Prob. 21IP Ch. 1.3 - Prob. 22IP Ch. 1.3 - Prob. 23IP Ch. 1.3 - Prob. 24IP Ch. 1.3 - Prob. 25IP Ch. 1.3 - Prob. 26IP Ch. 1.3 - Prob. 27IP Ch. 1.3 - Prob. 28IP Ch. 1.3 - Prob. 29IP Ch. 1.3 - Prob. 30IP Ch. 1.3 - Prob. 31IP Ch. 1.3 - Prob. 32IP Ch. 1.3 - Prob. 33IP Ch. 1.3 - Prob. 34IP Ch. 1.3 - Prob. 35IP Ch. 1.3 - Prob. 36IP Ch. 1.3 - Prob. 37IP Ch. 1.3 - Prob. 38IP Ch. 1.3 - Prob. 39IP Ch. 1.3 - Prob. 40IP Ch. 1.3 - Prob. 41IP Ch. 1.3 - Prob. 42HP Ch. 1.3 - Prob. 43HP Ch. 1.3 - Prob. 44HP Ch. 1.3 - Prob. 45HP Ch. 1.3 - Prob. 46STP Ch. 1.3 - Prob. 47STP Ch. 1.3 - Prob. 48STP Ch. 1.3 - Prob. 49STP Ch. 1.3 - Prob. 50CCR Ch. 1.3 - Prob. 51CCR Ch. 1.3 - Prob. 52CCR Ch. 1.3 - Prob. 53CCR Ch. 1.3 - Prob. 54CCR Ch. 1.3 - Prob. 55CCR Ch. 1.3 - Prob. 56CCR Ch. 1.3 - Prob. 57CCR Ch. 1.3 - Prob. 58CCR Ch. 1.3 - Prob. 59CCR Ch. 1.3 - Prob. 60CCR Ch. 1.3 - Prob. 61CCR Ch. 1.3 - Prob. 62CCR Ch. 1.3 - Prob. 63CCR Ch. 1.3 - Prob. 64CCR Ch. 1.3 - Prob. 65CCR Ch. 1.3 - Prob. 66CCR Ch. 1.3 - Prob. 67CCR Ch. 1.3 - Prob. 68CCR Ch. 1.3 - Prob. 69CCR Ch. 1.3 - Prob. 70CCR Ch. 1.3 - Prob. 71CCR Ch. 1.4 - Prob. 1GP Ch. 1.4 - Prob. 2GP Ch. 1.4 - Prob. 3GP Ch. 1.4 - Prob. 4GP Ch. 1.4 - Prob. 5GP Ch. 1.4 - Prob. 6GP Ch. 1.4 - Prob. 7GP Ch. 1.4 - Prob. 8GP Ch. 1.4 - Prob. 9GP Ch. 1.4 - Prob. 10GP Ch. 1.4 - Prob. 11GP Ch. 1.4 - Prob. 12GP Ch. 1.4 - Prob. 13GP Ch. 1.4 - Prob. 14GP Ch. 1.4 - Prob. 15GP Ch. 1.4 - Prob. 16GP Ch. 1.4 - Prob. 17GP Ch. 1.4 - Prob. 18IP Ch. 1.4 - Prob. 19IP Ch. 1.4 - Prob. 20IP Ch. 1.4 - Prob. 21IP Ch. 1.4 - Prob. 22IP Ch. 1.4 - Prob. 23IP Ch. 1.4 - Prob. 24IP Ch. 1.4 - Prob. 25IP Ch. 1.4 - Prob. 26IP Ch. 1.4 - Prob. 27IP Ch. 1.4 - Prob. 28IP Ch. 1.4 - Prob. 29IP Ch. 1.4 - Prob. 30IP Ch. 1.4 - Prob. 31IP Ch. 1.4 - Prob. 32IP Ch. 1.4 - Prob. 33IP Ch. 1.4 - Prob. 34IP Ch. 1.4 - Prob. 35IP Ch. 1.4 - Prob. 36IP Ch. 1.4 - Prob. 37IP Ch. 1.4 - Prob. 38IP Ch. 1.4 - Prob. 39IP Ch. 1.4 - Prob. 40IP Ch. 1.4 - Prob. 41IP Ch. 1.4 - Prob. 42IP Ch. 1.4 - Prob. 43IP Ch. 1.4 - Prob. 44IP Ch. 1.4 - Prob. 45IP Ch. 1.4 - Prob. 46IP Ch. 1.4 - Prob. 47IP Ch. 1.4 - Prob. 48IP Ch. 1.4 - Prob. 49IP Ch. 1.4 - Prob. 50HP Ch. 1.4 - Prob. 51HP Ch. 1.4 - Prob. 52HP Ch. 1.4 - Prob. 53HP Ch. 1.4 - Prob. 54HP Ch. 1.4 - Prob. 55STP Ch. 1.4 - Prob. 56STP Ch. 1.4 - Prob. 57STP Ch. 1.4 - Prob. 58STP Ch. 1.4 - Prob. 59CCR Ch. 1.4 - Prob. 60CCR Ch. 1.4 - Prob. 61CCR Ch. 1.4 - Prob. 62CCR Ch. 1.4 - Prob. 63CCR Ch. 1.4 - Prob. 64CCR Ch. 1.4 - Prob. 65CCR Ch. 1.4 - Prob. 66CCR Ch. 1.4 - Prob. 67CCR Ch. 1.4 - Prob. 68CCR Ch. 1.4 - Prob. 69CCR Ch. 1.4 - Prob. 70CCR Ch. 1.4 - Prob. 71CCR Ch. 1.4 - Prob. 72CCR Ch. 1.4 - Prob. 73CCR Ch. 1.4 - Prob. 74CCR Ch. 1.4 - Prob. 75CCR Ch. 1.4 - Prob. 76CCR Ch. 1.4 - Prob. 77CCR Ch. 1.4 - Prob. 78CCR Ch. 1.4 - Prob. 79CCR Ch. 1.4 - Prob. 80CCR Ch. 1.5 - Prob. 1GP Ch. 1.5 - Prob. 2GP Ch. 1.5 - Prob. 3GP Ch. 1.5 - Prob. 4GP Ch. 1.5 - Prob. 5IP Ch. 1.5 - Prob. 6IP Ch. 1.5 - Prob. 7IP Ch. 1.5 - Prob. 8IP Ch. 1.5 - Prob. 9IP Ch. 1.5 - Prob. 10IP Ch. 1.5 - Prob. 11IP Ch. 1.5 - Prob. 12IP Ch. 1.5 - Prob. 13IP Ch. 1.5 - Prob. 14IP Ch. 1.5 - Prob. 15IP Ch. 1.5 - Prob. 16HP Ch. 1.5 - Prob. 17HP Ch. 1.5 - Prob. 18HP Ch. 1.5 - Prob. 19HP Ch. 1.5 - Prob. 20STP Ch. 1.5 - Prob. 21STP Ch. 1.5 - Prob. 22STP Ch. 1.5 - Prob. 23STP Ch. 1.5 - Prob. 24CCR Ch. 1.5 - Prob. 25CCR Ch. 1.5 - Prob. 26CCR Ch. 1.5 - Prob. 27CCR Ch. 1.5 - Prob. 28CCR Ch. 1.5 - Prob. 29CCR Ch. 1.5 - Prob. 30CCR Ch. 1.5 - Prob. 31CCR Ch. 1.5 - Prob. 32CCR Ch. 1.5 - Prob. 33CCR Ch. 1.5 - Prob. 34CCR Ch. 1.5 - Prob. 35CCR Ch. 1.6 - Prob. 1GP Ch. 1.6 - Prob. 2GP Ch. 1.6 - Prob. 3GP Ch. 1.6 - Prob. 4GP Ch. 1.6 - Prob. 5GP Ch. 1.6 - Prob. 6GP Ch. 1.6 - Prob. 7GP Ch. 1.6 - Prob. 8GP Ch. 1.6 - Prob. 9GP Ch. 1.6 - Prob. 10GP Ch. 1.6 - Prob. 11GP Ch. 1.6 - Prob. 12IP Ch. 1.6 - Prob. 13IP Ch. 1.6 - Prob. 14IP Ch. 1.6 - Prob. 15IP Ch. 1.6 - Prob. 16IP Ch. 1.6 - Prob. 17IP Ch. 1.6 - Prob. 18IP Ch. 1.6 - Prob. 19IP Ch. 1.6 - Prob. 20IP Ch. 1.6 - Prob. 21IP Ch. 1.6 - Prob. 22IP Ch. 1.6 - Prob. 23IP Ch. 1.6 - Prob. 24IP Ch. 1.6 - Prob. 25IP Ch. 1.6 - Prob. 26IP Ch. 1.6 - Prob. 27IP Ch. 1.6 - Prob. 28IP Ch. 1.6 - Prob. 29IP Ch. 1.6 - Prob. 30IP Ch. 1.6 - Prob. 31IP Ch. 1.6 - Prob. 32IP Ch. 1.6 - Prob. 33IP Ch. 1.6 - Prob. 34IP Ch. 1.6 - Prob. 35IP Ch. 1.6 - Prob. 36IP Ch. 1.6 - Prob. 37HP Ch. 1.6 - Prob. 38HP Ch. 1.6 - Prob. 39HP Ch. 1.6 - Prob. 40HP Ch. 1.6 - Prob. 41STP Ch. 1.6 - Prob. 42STP Ch. 1.6 - Prob. 43STP Ch. 1.6 - Prob. 44STP Ch. 1.6 - Prob. 45CCR Ch. 1.6 - Prob. 46CCR Ch. 1.6 - Prob. 47CCR Ch. 1.6 - Prob. 48CCR Ch. 1.6 - Prob. 49CCR Ch. 1.6 - Prob. 50CCR Ch. 1.6 - Prob. 51CCR Ch. 1.6 - Prob. 52CCR Ch. 1.6 - Prob. 53CCR Ch. 1.6 - Prob. 54CCR Ch. 1.6 - Prob. 55CCR Ch. 1.6 - Prob. 56CCR Ch. 1.6 - Prob. 57CCR Ch. 1.6 - Prob. 58CCR Ch. 1.6 - Prob. 59CCR Ch. 1.6 - Prob. 60CCR Ch. 1.6 - Prob. 61CCR Ch. 1.6 - Prob. 62CCR Ch. 1.6 - Prob. 63CCR Ch. 1.7 - Prob. 1GP Ch. 1.7 - Prob. 2GP Ch. 1.7 - Prob. 3GP Ch. 1.7 - Prob. 4IP Ch. 1.7 - Prob. 5IP Ch. 1.7 - Prob. 6IP Ch. 1.7 - Prob. 7IP Ch. 1.7 - Prob. 8IP Ch. 1.7 - Prob. 9IP Ch. 1.7 - Prob. 10IP Ch. 1.7 - Prob. 11IP Ch. 1.7 - Prob. 12HP Ch. 1.7 - Prob. 13HP Ch. 1.7 - Prob. 14HP Ch. 1.7 - Prob. 15HP Ch. 1.7 - Prob. 16HP Ch. 1.7 - Prob. 17HP Ch. 1.7 - Prob. 18HP Ch. 1.7 - Prob. 19HP Ch. 1.7 - Prob. 20CCR Ch. 1.7 - Prob. 21CCR Ch. 1.7 - Prob. 22CCR Ch. 1.7 - Prob. 23CCR Ch. 1.7 - Prob. 24CCR Ch. 1.7 - Prob. 25CCR Ch. 1.7 - Prob. 26CCR Ch. 1.7 - Prob. 27CCR Ch. 1.7 - Prob. 28CCR Ch. 1.7 - Prob. 29CCR Ch. 1.7 - Prob. 30CCR Ch. 1.7 - Prob. 31CCR Ch. 1.7 - Prob. 32CCR Ch. 1.7 - Prob. 33CCR Ch. 1.7 - Prob. 34CCR Ch. 1.7 - Prob. 35CCR Ch. 1.7 - Prob. 36CCR Ch. 1.7 - Prob. 37CCR Ch. 1.7 - Prob. 38CCR Ch. 1.7 - Prob. 39CCR Ch. 1.7 - Prob. 40CCR Ch. 1.7 - Prob. 41CCR Ch. 1.7 - Prob. 42CCR Ch. 1.7 - Prob. 43CCR Ch. 1.7 - Prob. 44CCR Ch. 1 - Prob. 1CR Ch. 1 - Prob. 2CR Ch. 1 - Prob. 3CR Ch. 1 - Prob. 4CR Ch. 1 - Prob. 5CR Ch. 1 - Prob. 6CR Ch. 1 - Prob. 7CR Ch. 1 - Prob. 8CR Ch. 1 - Prob. 9CR Ch. 1 - Prob. 10CR Ch. 1 - Prob. 11CR Ch. 1 - Prob. 12CR Ch. 1 - Prob. 13CR Ch. 1 - Prob. 14CR Ch. 1 - Prob. 15CR Ch. 1 - Prob. 16CR Ch. 1 - Prob. 17CR Ch. 1 - Prob. 18CR Ch. 1 - Prob. 19CR Ch. 1 - Prob. 20CR Ch. 1 - Prob. 21CR Ch. 1 - Prob. 22CR Ch. 1 - Prob. 23CR Ch. 1 - Prob. 24CR Ch. 1 - Prob. 25CR Ch. 1 - Prob. 26CR Ch. 1 - Prob. 27CR Ch. 1 - Prob. 28CR Ch. 1 - Prob. 29CR Ch. 1 - Prob. 30CR Ch. 1 - Prob. 31CR Ch. 1 - Prob. 32CR Ch. 1 - Prob. 33CR Ch. 1 - Prob. 34CR Ch. 1 - Prob. 35CR Ch. 1 - Prob. 36CR Ch. 1 - Prob. 37CR Ch. 1 - Prob. 38CR Ch. 1 - Prob. 39CR Ch. 1 - Prob. 40CR Ch. 1 - Prob. 41CR

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