Question

What is the greatest common factor of 8x and 40?

Answer 1

The GCF of 8x and 40 is 8.

Answer 2

ANSWER

The greatest common factor is

`8`

Step-by-step explanation

We want to find the greatest common factor of

`8x \: and \: 40.`



We use prime factorization to find the greatest common factor of

`8x \: \: and \: \: 40.`


The prime factorization of 8x is,


`8x = {2}^(3) * x`

The prime factorization of 40 is


`40 = {2}^(3) * 5`



The greatest common factor of 8x and 40 is


`{2}^(3) = 8`