What is the greatest common factor of 64 and 96?

Answer 1

The GCF of 64 and 96 is 32.

One way to determine the greatest common factor is to find all the factors of the numbers and compare them.

The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

The common factors are 1, 2, 4, 8, 16, and 32. Therefore, the greatest common factor is 32.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 64 are 2, 2, 2, 2, 2, and 2.

The prime factors of 96 are 2, 2, 2, 2, 2, and 3.

The prime factors in common are 2, 2, 2, 2, and 2, so the greatest common factor is 2 x 2 x 2 x 2 x 2 = 32
The GCF is 32.