﻿ Definition and examples relatively prime numbers | define relatively prime numbers - Geometry - Free Math Dictionary Online

# Relatively Prime Numbers

## Definition of Relatively Prime Numbers

Two integers a and b are said to be relatively prime if they do not have any common factor other than 1 or - 1.

### More about Relatively Prime Numbers

• Relatively prime numbers are also called as co-primes.

### Example of Relatively Prime Numbers

12 and 13 are relatively prime numbers as there are no common factors between 12 and 13 other than 1.

### Solved Example on Relatively Prime Numbers

A. (7, 14)
B. (8, 16)
C. (6, 13)
D. (6, 12)

#### Solution:

Step 1: Two numbers are said to be relatively prime if their common factor is only 1
Step 2: Common factors of 6 and 12 are 1, 2, 3, 6
Step 3: Common factors of 7 and 14 are 1, 7
Step 4: Common factors of 8 and 16 are 1, 2, 4, 8
Step 5: Common factor of 6 and 13 is only 1
Step 6: (6, 13) is a pair of relatively prime numbers.

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