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

1 Answer
Dec 2, 2016

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.