What is the greatest common factor of 24 and 25?

Answer 1

24 and 25 have no common factor, other than one.

There can be only one "greatest".

There are two ways to solve for the greatest common factor.

One way is to solve is to find the common prime factors and multiply them.

So 24 = 2*2*2*3 and 25 = 5*5

Since they do not have common prime factors they do not have a GCF.

Another way to solve it (just to reassure you) is to list the factors.

1. 24: 1, 2, 3, 4, 6, 8, 12, 24

25: 1, 5, 25

2. Again, you see they don't have a common factor.

So technically the greatest common factor is 1.

Answer 2

The GCF is 1.

Answer 3

1