# What is the HCF of 4 and 9?

HCF (Highest Common Factor) of two numbers is the largest possible number which divides the two numbers exactly without any remainder.

## Answer: HCF of 4 and 9 is 1

We will explain two methods to find the HCF of 4 and 9

## Explanation:

The two methods that we are using to find HCF of 4 and 9 are shown below.

- HCF of 4 and 9 by Prime Factorization
- HCF of 4 and 9 by Listing the Common Factors

### Method 4: HCF of 4 and 9 by Prime Factorization

Represent 4 and 9 as a product of its prime factors.

Prime factorization of 4 is 2 × 2

Prime factorization of 9 is 3 × 3

The common factor in the prime factorization of 4 and 9 is 1

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

Since the common factor is 1, the HCF of 4 and 9 is 1

### Method 4: HCF of 4 and 9 by Listing the Common Factors

Factors of 4 and 9 are:

Factors of 4: 1, 2, 4

Factors of 9: 1, 3, 9

The common factor of 4 and 9 is 1

So, the HCF of 4 and 9 is 1

You can find the HCF in any of the above methods but the solution will be the same.