What is the greatest common factor of 70 and 105?

Answer 1

Answer: 35

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 70 are 1, 2, 5, 7, 10, 14, 35, and 70.

The factors of 105 are 1, 3, 5, 7, 15, 21, 35, and 105.

The common factors are 1, 5, 7, and 35. Therefore, the greatest common factor is 35.