# What is the HCF of 3 and 9?

The largest possible number which divides the given numbers exactly without any remainder is called the HCF (Highest Common Factor).

## Answer: HCF of 3 and 9 is 3

HCF of 3 and 9 is the highest number that divides 3 and 9 exactly leaving the remainder 0.

## Explanation:

We will use two methods to find the HCF of 3 and 9.

- HCF of 3 and 9 by Prime Factorization
- HCF of 3 and 9 by Listing the Common Factors

### Method 1: Find HCF of 3 and 9 by Prime Factorization

Prime factorization of 3 is 3

Prime factorization of 9 is 3 × 3

The common factor in the prime factorization of 36 and 63 = 3

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

So, HCF of 36 and 63 is 3

### Method 2: Find HCF of 3 and 9 by Listing the Common Factors

The factors of 3 and 9 are shown below.

There are two common factors of 3 and 9, that are, 1 and 3

The highest common factor of 3 and 9 is 3

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