# What is the HCF of 4 and 12?

HCF (Highest Common Factor) of 4 and 12 is the greatest possible number which divides both 4 and 12 exactly.

## Answer: HCF of 4 and 12 is 4

## Explanation

The highest common factor (HCF) of two numbers a and b is the highest possible number that divides the numbers a and b exactly, leaving the remainder 0.

## Methods to Find HCF of 4 and 12

### HCF of 4 and 12 by Listing the Common Factors

Factors of 4: 1, 2 and 4

Factors of 12: 1, 2, 3, 4, 6 and 12

Common Factors of 4 and 12: 1, 2, 4

Since the greatest common factor is 4, the HCF of 4 and 12 is 4

So, HCF of 4 and 12 is 1

### HCF of 4 and 12 by Prime Factorization

Prime factorization of 4: 2 × 2

Prime factorization of 12: 2 × 2 × 3

The common factor in the prime factorization of 4 and 12 is the repeated factor of 2, that is, 2 and 2

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

So, HCF of 4 and 12 is 4

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