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## Coprime Numbers

**Example 2 = Are numbers 12 and 21 Coprime ? **

**Answer =** Two given numbers are 12 and 21

Factors of 12 = 1, 2, 3, 4, 6, 12

Factors of 21 = 1, 3, 7, 21

On comparing the factors of numbers 12 and 21, you can see that both have 1 and 3 as common factors,

**Hence, we can say that numbers 12 and 21 are not Coprimes.**

**Example 3 = Are numbers 27 and 16 Coprime ? **

**Answer =** Two given numbers are 27 and 16

Factors of 27 = 1, 3, 9, 27

Factors of 16 = 1, 2, 4, 16

On comparing the factors of numbers 27 and 16, you can see that both have 1 as a common factor,

**Hence we can say that numbers 27 and 16 are Coprimes.**

### Study More Solved Questions / Examples

__Definition__

Two numbers are said to be **Coprimes** when they have only 1 as a common factor.

**Following examples would further help you to understand Coprimes**

**Example 1 = Are numbers 6 and 25 Coprime ? **
**Answer =** Two given numbers are 6 and 25

Factors of 6 = 1, 2, 3, 6

Factors of 25 = 1, 5, 25

On comparing the factors of numbers 6 and 25, you can see that both have only 1 as a common factor,
**Hence we can say that numbers 6 and 25 are Coprimes.**

Factors of 12 = 1, 2, 3, 4, 6, 12

Factors of 21 = 1, 3, 7, 21

On comparing the factors of numbers 12 and 21, you can see that both have 1 and 3 as common factors,

Factors of 27 = 1, 3, 9, 27

Factors of 16 = 1, 2, 4, 16

On comparing the factors of numbers 27 and 16, you can see that both have 1 as a common factor,