# What is the HCF of 1 and 3?

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

## Answer: HCF of 1 and 3 is 1

We will explain two methods to find the HCF of 1 and 3

## Explanation:

The two methods that we are using to find HCF of 1 and 3 are shown below.

- HCF of 1 and 3 by Prime Factorization
- HCF of 1 and 3 by Listing the Common Factors

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

Represent 1 and 3 as a product of its prime factors.

Prime factorization of 1 is 1

Prime factorization of 3 is 1 × 3

The common factor in the prime factorization of 1 and 3 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 1 and 3 is 1

### Method 1: HCF of 1 and 3 by Listing the Common Factors

Factors of 1 and 3 are:

Factors of 1: 1, 1

Factors of 3: 1, 1, 3

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

So, HCF of 1 and 3 is 1

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