# What is the HCF of 4 and 5?

HCF of two numbers 4 and 5 is the largest possible number which divides both the numbers exactly.

## Answer: HCF of 4 and 5 is 1

## Explanation:

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

We can find the HCF by the following methods

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

### Method 1: HCF of 4 and 5 by Prime Factorization

Let us represent 4 and 5 as a product of its prime numbers

Prime factorization of 4 is 2 x 2

Prime factorization of 5 is 5

There are no common factors , only the universal factor 1 is common to them which is the HCF of 4 and 5

### Method 2: HCF of 4 and 5 by Listing the Common Factors

Common Factors of 4 and 5: 1.

HCF of 4 and 5 is 1

### Therefore, HCF of 4 and 5 is 1

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