What are the common factors of 84 and 120?

Answer 1

Determine the prime factors of both numbers.

400 = 2 x 2 x 2 x 2 x 5 x 5 = 24 x 52

120 = 2 x 2 x 2 x 3 x 5 = 23 x 3 x 5

The common factors are 23 and 5 : The highest common factor is 23 x 5 = 40.

Common factors are formed from the individual common factors together with any combination of those factors.

This gives :- 2, 22 = 4, 23 = 8, 5, 2 x 5 = 10, 22 x 5 = 20 and 23 x 5 = 40

Answer 2

The factors of 98 are:

1, 2, 7, 14, 49, 98

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

Answer 3

The factors of 84 are:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 114 are:

1, 2, 3, 6, 19, 38, 57, 114

The common factors are:

1, 2, 3, 6

Answer 4

The common factors of 114 and 120 are: 1, 2, 3, and 6

Answer 5

1, 2 and 4 are the common factors of 84 and 120. 4 is the greatest common factor.

Answer 6

The common factors are: 1, 2, 3, 4, 6, 8, 12, 24.

Answer 7

The common factors of 40 and 120 are 1, 2, 4, 5, 8, 10, 20, and 40

Answer 8

The factors of 114 are 1,2,3,6,19, 38, 57 and 114.

The factors of 92 are 1,2,4,23,46 and 92.

The common factors of 114 and 92 are therefor 1 and 2.

Answer 9

1, 2, 4, 7, 14, 28