Chapter 6, Problem 327RE

In the following exercises, solve.

327. The area of a bulletin board is 55 square feet. The length is four feet less than three times the width. Find the length and the width of the a bulletin board.

To determine

To find the greatest common factor of given two numbers.

Answer to Problem 327RE

$6$.

Explanation of Solution

Given information:

Two numbers are given as $42$ and $60$.

Calculation:

To find the greatest common factor of given two numbers $42$ and $60$ using prime factor method, first we will write down each number as product of prime factors. Then the product of all common prime factor will be the greatest common factor (GCF).

Writing number $42$ as product of prime factors:

$42=2\times 3\times 7$

Writing number $60$ as product of prime factors:

$60=2\times 2\times 3\times 5$

$\frac{\begin{array}{l}42=2\times 3\times 7\\ 60=2\times 2\times 3\times 5\end{array}}{GCF=2\times 3=6}$

Hence, we can say that GCF of $42$ and $60$ will be $6$.