# What is The HCF of 27 and 63?

Highest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: HCF of 27 and 63 is 9

## Explanation:

We can find the HCF by the following methods

- Prime factorization Method
- Listing the common factors method
- Long division Method

## HCF of 27 and 63 by Prime Factorization

Let us represent 27 and 63 as a product of its prime numbers

Prime factorization of 27 is 3× 3× 3

Prime factorization of 63 is 3 × 3× 7

Common factor = 3,3

HCF is the product of the factors that are common to each of the given numbers.

HCF is 3 × 3=9

### HCF of 27 and 63 by Listing the Common Factors

Common Factors of 27 and 63: 1,3,9

The highest common factor is 9

HCF of 27 and 63 is 9