What is the greatest common factor of 30 and 36?

Answer 1

The GCF of 30 and 36 is 6.

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

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

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

The common factors are 1, 2, 3, and 6. Therefore, the greatest common factor is 6.

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

The prime factors of 30 are 2, 3, and 5.

The prime factors of 36 are 2, 2, 3, and 3.

The prime factors they have in common are 2 and 3, so the greatest common factor is 2 x 3 = 6.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

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

The greatest common factor of 30 and 36 is 6.
6