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# Coprime

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In mathematics, two integers (*a* and *b*) are **coprime** (or **relatively prime**) if they share no common factors. In other words, there is no number, other than 1, that divides both a and b.

As an example, 6 and 35 are coprime. 6 and 27 are not coprime, because 3 divides both 6 and 27.

## Properties of Coprime

1. Prime numbers are always **coprime** to each other.

2. Any two consecutive integers are always **coprime**.

3. Sum of any two **coprime** numbers is always **coprime** to their product.

4. 1 is trivially **coprime** with all numbers.