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# What are common factors and common multiples?

**Common Factor:**

A common factor is a whole number which is a factor of two or more numbers.

**Common Multiples:**

The multiples which are shared by a given set of numbers are called common multiples.

For example:

Factors of 10 are **1, 2**, **5**, **10**

Factors of 20 are **1, 2**, 4, **5, 10**, 20

Common factors of 10 and 20 are 1, 2, 5 and 10

The first few multiples of 10 are 10, **20**, 30, **40**,.....

The first few multiples of 20 are **20, 40**, 60,.....

Therefore,

The first two common multiples of 10 and 20 are 20 and 40.

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