# What is the HCF of 2, 3 and 4?

The HCF (Highest Common Factor) of two or more numbers is the largest possible number which divides the given numbers exactly without leaving any remainder or leaving 0 as the remainder.

## Answer: HCF of 2, 3 and 4 is 1

We will learn two methods to find HCF of 2, 3 and 4

## Explanation

HCF(Highest Common Factor) of 2, 3 and 4 is the highest possible number which divides 2, 3 and 4 exactly without any remainder.

- HCF of 2, 3 and 4 by Listing the Common Factors
- HCF of 2, 3 and 4 by Prime Factorization

### Method 1: HCF 2, 3 and 4 by Listing the Common Factors

The factors of 2, 3 and 4 are:

Factors of 2: 1 and 2

Factors of 3: 1 and 3

Factors of 4: 1, 2 and 4

Common Factors of 2, 3, and 4 is 1

### Method 2: HCF 2, 3 and 4 by Prime Factorization

Represent 2, 3 and 4 as a product of its prime factors.

Prime factorization of 2: 2

Prime factorization of 3: 3

Prime factorization of 4: 2^{2}

HCF is the product of the factors that are common to each of the given numbers. there is no common factor for al the 3 numbers. Hence the universal factor 1 is the HCF of 2 3 and 4.