Question

How do you find the greatest common factor of 24, 28?

Answer 1

Find the prime factorization for both numbers and multiply all common factors.

Explanation:

You could find the prime factorizations of `24` and `28`.

`24 = 2^2 * 3`

`28 = 2^2 * 7`

We see that `24` and `28` have `2^2` in common and nothing else, so the greatest common factor is

`2^2 = 4`

There are other ways to find the GCF as well such as listing out all the factors of each number and picking out the greatest, which is a little more tedious and unnecessary.