What is the gcf of 24 and 88?

8.

To work this out, find the prime factors of each:

24: 2^3 x 3

88: 2^3 x 11

Now take only the shared values, and multiply them together:

2 x 2 x 2 = 8

Look for a number that can simultaneously divide both:

2 24 88

2 12 44

2 6 22

3 11

There is no other number that can equally divide into 3 and 11.

Therefore GCF = 2 * 2 * 2 = 8.

That's it.