# What is the HCF of 27 and 36?

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

## Answer: HCF of 27 and 36 is 9

## Explanation:

We can find the HCF of the numbers in many ways the commonly used methods are listed below.

### Methods to Find HCF of 27 and 36

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

### Method 1: HCF of 27 and 36 by Prime Factorization

In this method, we represent 27 and 36 as a product of its prime numbers

Prime factorization of 27 is 3 × 3 × 3

Prime factorization of 36 is 2 × 2 × 3 × 3

Common factor = 3 × 3

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

HCF is 9

### Method 2: HCF of 27 and 36 by Long Division

- Step 1: Divide 36 by 27 and check the remainder.
- Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Step 3: Continue till you get remainder as 0

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Irrespective of the method, the solution to our question HCF of 27 and 36 is the same.