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Common Factor

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Common Factors:

1) What are the factors of 8 and 20?

The factors of 8 are 1, 2, 4, and 8.

The factors of 20 are 1, 2, 4, 5, 10, and 20.

The numbers 1, 2, and 4 are the factors of both 8 and 20.

2) Find the common factors of 4, 12, and 16?

Factors of 4 are 1, 2, and 4.

Factors of 12 are 1, 2, 3, 4, 6, and 12.

Factors of 16 are 1, 2, 4, 8, and 16.

Clearly, 1, 2, and 4 are the common factors of 4, 12, and 16.

Example

Find the common factors of 5, 15, and 25.

5, 15, and 25

Factors of 5 = 1, 5

Factors of 15 = 1, 3, 5, 15

Factors of 25 = 1, 5, 25

Common factors = 1, 5.

Example

Find the common factors of 75, 60, and 210.

Factors of 75 are 1, 3, 5, 15, 25, and 75.

Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 30, and 60.

Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210.
Thus, common factors of 75, 60, and 210 are 1, 3, 5, and 15.

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What Are Common Factors? [00:06:34]
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