What is the greatest common factor of 32 and 45?

The GCF of 32 and 45 is 1.

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 45 are 1, 3, 5, 9, 15, and 45.

The common factors are 1. Therefore, 1 is the greatest common factor, which means they are relatively prime.

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 45 are 3, 3, and 5.

They have no prime factors in common, so they are relatively prime.