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A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

# What is the HCF of 2 coprime numbers?

The highest common factor of any set of numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: HCF of 2 coprime numbers is 1.

Let us explore more about co-primes.

## Explanation:

Two numbers or integers are co-prime if their common factor is only 1. There should be a minimum of two numbers to form a set of coprime numbers.

If the highest common factor (HCF) or GCF of two numbers is also defined as the largest among all the common factors of given numbers. For co-primes, 1 is the only common factor. So, the HCF of coprime numbers is always 1.

For example: (2,3), (3,5), (8,15), (10,33) etc.

**NOTE**: Co-primes are always not prime numbers, like for example, the pair (8, 45) are coprime. Both 8 and 45 are composite numbers.

### Therefore, the HCF of 2 coprime numbers is 1.

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