What is the greatest common factor of 30 and 126?

Answer 1

Answer: 6

Definition: A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Method:

One way to determine the common factors and 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 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126.

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