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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 evenly.

As an example, 6 and 35 are coprime, because the factors of 6, 2 and 3, do not divide 35 evenly. 6 and 27 are not coprime, because 3 divides both 6 and 27.

Properties of Coprime[change | change source]

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.

5. if out of two numbers , any one number is a prime number while other number is not a multiple of first one ,then both are coprime.

If the HCF of 2 numbers is 1 then they are co prime.