What is the greatest common factor for 32 and 108?

Answer 1

The factors of 32 are 1, 2, 4, 8, 16, and 32.

The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108.

The common factors are 1, 2, and 4. The largest factor they have in common is 4, so the greatest common factor is 4.

You can also determine the greatest common factor by their prime factors.

The prime factors of 32 are 2, 2, 2, 2, and 2.

The prime factors of 108 are 2, 2, 3, 3, and 3.

The prime factors they have in common are 2 and 2, so the greatest common factor is 2 x 2 = 4.