# What is the HCF of 12, 18, 24?

HCF (Highest Common Factor) of 12, 18, 24 is the greatest possible number which divides 12, 18, 24 exactly.

## Answer: HCF of 12, 18, 24 is 6

## Explanation:

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

## Methods to Find HCF of 12, 18 and 24

### HCF of 12, 18, 24 by Listing the Common Factors

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

Factors of 18: 1, 2, 3, 6, 9, and 18

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Common Factors of 12, 18, 24: 1, 2, 3, 6

Since the greatest common factor is 6, the HCF of 12, 18, 24 is 6

HCF of 12, 18, 24 is 6

### HCF of 12, 18, 24 by Prime Factorization

Prime factorization of 12: 2 × 2 × 3

Prime factorization of 18: 2 × 3 × 3

Prime factorization of 24: 2 × 2 × 2 × 3

The common factors in the prime factorization of 12, 18, 24 are 2 and 3

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

So, HCF of 12, 18, 24 is 6

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