What are the common factors of 120 and 68?

Answer 1

Answer:

The common factors of 70 and 120 are 1, 2, 5, and 10.

The greatest common factor of 70 and 120 is 10.

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 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.

The common factors are 1, 2, 5, and 10. Therefore, the greatest common factor is 10.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. To then obtain the common factors, list all the factors of the greatest common factor.

The prime factors of 70 are 2, 5, and 7.

The prime factors of 120 are 2, 2, 2, 3, and 5.

The prime factors in common are 2 and 5, so the greatest common factor is 2 x 5 = 10. The factors of 10 are 1, 2, 5, and 10, which are the common factors.

Answer 2

The factors of 68 are: 1, 2, 4, 17, 34, 68

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The common factors are: 1, 2, 4

Answer 3

The highest common factor is 10