What is the greatest common factor of 32 and 240?

Answer 1

The greatest common factor (GCF) of 32 and 240 is the largest number that divides both 32 and 240 without leaving a remainder. To find the GCF, we need to identify the common factors of 32 and 240, which are 1, 2, 4, and 8. The largest number among these common factors is 8, so the GCF of 32 and 240 is 8.

Answer 2

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

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

The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240.

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

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

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

The prime factors of 240 are 2, 2, 2, 2, 3, and 5.

The prime factors in common are 2, 2, 2, and 2, so the greatest common factor is 2 x 2 x 2 x 2 = 16.

The GCF is 16.

Answer 3

gcf of 32 and 240 is 16.