Chapter 4.2, Problem 26E

To determine

To find the greatest common factor and also find if they are relatively prime or not.

Answer to Problem 26E

16, no

Explanation of Solution

Given Information:64, 144

Formula used: GCF using Factorization method. Pairs of relatively primes are only divisible by 1.

Calculation:

The factors of 64 are: $64=2\times 2\times 2\times 2\times 2\times 2$

The factors of 144 are: $144=2\times 3\times 2\times 2\times 3\times 2$

Since $2\times 2\times 2\times 2$ is common between all numbers, Then the greatest common factor is 16.

Since they do not have their GCF as 1, they are not relatively prime numbers..