** 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**

Choose the pair of relatively prime numbers in the following.

Choices:

A. (7, 14)

B. (8, 16)

C. (6, 13)

D. (6, 12)

Correct Answer: C

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.

**Related Terms for Relatively Prime Numbers**

- Common Factor
- Factor
- Integer
- Number
- Prime