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

1 Answer
Dec 2, 2016

Answer:

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.