What is the greatest common factor of 30 and 12?

The GCF of 12 and 30 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 12 are 1, 2, 3, 4, 6, and 12.

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

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 12 are 2, 2, and 3.

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

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