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Concept

Relatively Prime Numbers

Two numbers are relatively prime if they have no common factors except for In other words, relatively prime numbers do not have a common divisor other than in which the numbers can be divided without having a remainder. Relatively prime numbers are also called coprime numbers or mutually prime numbers.

Extra

Properties of Relatively Prime Numbers

Here are some properties of relatively prime numbers.

  1. Relatively prime numbers are not necessarily prime numbers.
  2. Any prime number is relatively prime with any number except the multiples of the prime number.
  3. Consecutive numbers are relatively prime.
  4. Two even numbers are never relatively prime because they have, at least, the common factors of and

The following table shows some examples of relatively prime numbers depending on their properties.

Number Factors Prime? Common Factors Relatively Prime? Property Number
and and
and
and
and and
and