# What is a co-prime number?

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Apr 6, 2016

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Numbers, which do not have any common factor between them other than one, are called co-prime numbers.

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When two numbers (they may not be prime) do not have any common factor other than one between them they are called co-prime or relatively prime.

It is obvious that two prime numbers are always co-prime. For example, $17$ and $23$.

However, even two composite numbers can also be co-prime or relatively prime. For example $16$ and $25$ do not have any common factor other than one. Similarly $84$ and $65$ do not have any common factor and are hence co-prime.

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