# What is the HCF of 7 and 9?

HCF (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 7 and 9 is 1

Let us see how to find the HCF of 7 and 9

## Explanation:

Two methods to find the HCF of 7 and 9 are explained below.

- HCF of 7 and 9 by Prime Factorization
- HCF of 7 and 9 by Listing the Common Factors

### Method 1: HCF of 7 and 9 by Prime Factorization

Let us represent 7 and 9 as a product of its prime factors.

__Prime factorization__ of 7 is 7

Prime factorization of 9 is 3 × 3

7 and 9 do not have any common factor. Therefore universal factor 1 is the HCF of 7 and 9.

### Method 2: HCF of 7 and 9 by Listing the Common Factors

Follow the steps given below to find the HCF of 7 and 9 by Listing the Common Factors.

**Step 1: **List the factors of 7 and 9

**Step 2:** Identify the common factors of 7 and 9

**Step 3: **HCF of 7 and 9 is equal to the highest factor among the common factors of 7 and 9

So, HCF of 7 and 9 is 1

You can find the HCF in any of the above methods but the solution will be the same, that is, HCF of 7 and 9 is 1