What is the greatest common factor of 126 and 70?

Answer 1

Answer:
The greatest common factor of 70 and 126 is 14.
The common factors of 70 and 126 are 1, 2, 7, and 14.

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

Methods:
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 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126.
The common factors are 1, 2, 7, and 14. Therefore, the greatest common factor is 14.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 70 are 2, 5, and 7.
The prime factors of 126 are 2, 3, 3, and 7.
The prime factors in common are 2 and 7, so the greatest common factor is 2 x 7 = 14.
It is: 14

Answer 2

14