Co Prime Numbers – Definition, Properties and Solved Examples

# Co Prime Numbers – Definition, Properties and Solved Examples

## What are the Co-Prime Numbers?

A co-prime number is a number that shares a common factor with another number, but that number is not itself a prime number. In other words, co-prime numbers are two numbers that share a common factor, other than 1 and themselves.

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## Co-Prime Numbers from 1 to 100

A co-prime number is a number that shares a common factor with another number, other than 1 and itself. For example, the numbers 2 and 3 are co-prime because they share the common factor of 2. The numbers 7 and 11 are also co-prime because they share the common factor of 7.

The numbers 1 and 100 are not co-prime because they share the common factor of 1. The numbers 2 and 99 are not co-prime because they share the common factor of 2. The numbers 3 and 98 are not co-prime because they share the common factor of 3. The numbers 4 and 97 are not co-prime because they share the common factor of 4. The numbers 5 and 96 are not co-prime because they share the common factor of 5. The numbers 6 and 95 are not co-prime because they share the common factor of 6. The numbers 7 and 94 are not co-prime because they share the common factor of 7. The numbers 8 and 93 are not co-prime because they share the common factor of 8. The numbers 9 and 92 are not co-prime because they share the common factor of 9. The numbers 10 and 91 are not co-prime because they share the common factor of 10.

## How to Check if the Given Set of Numbers is Co-Prime

The first step is to determine if the given set of numbers is actually a set of prime numbers. If it is not, then the set is not co-prime.

If the set is a set of prime numbers, then the next step is to determine if the two prime numbers are in fact co-prime. This is done by checking to see if the two prime numbers share any common factors. If they do, then the two prime numbers are not co-prime.

If the two prime numbers do not share any common factors, then the two prime numbers are co-prime.

## Properties of Co-Prime Numbers

A co-prime number is a number that shares a common factor with another number, other than 1 and itself.

The only two co-prime numbers are 2 and 3.

The only factors of 2 are 1 and 2.

The only factors of 3 are 1 and 3.

for example:

The numbers 6 and 8 are co-prime because they share the common prime factor of 2. The number 12 is not co-prime because it does not share any common prime factors with 6 or 8

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