# What is the HCF of 12, 16 and 24?

The largest possible number which divides the given numbers exactly without leaving any remainder is called the HCF (Highest Common Factor).

## Answer: HCF of 12, 16, and 24 is 4

HCF of 12, 16, and 24 is the highest number that divides 12, 16 and 24 exactly leaving the remainder 0.

## Explanation:

We will show two methods to find the HCF (12, 16, 24).

- HCF of 12, 16, and 24 by Listing the Common Factors
- HCF of 12, 16, and 24 by Prime Factorization

### Method 1: Calculate HCF of 12, 16, and 24 by Listing the Common Factors

The factors of 12, 16, and 24 are shown below.

Clearly, the common factors of 12, 16, and 24 are 1, 2, 3 and 4.

The highest common factor of 12, 16, and 24 is 4.

So, HCF(12, 16, 24) = 4

### Method 2: Calculate HCF of 12, 16, and 24 by Prime Factorization

Let us represent 12, 16, and 16 as a product of its prime factors.

Prime factorization of 12 is 2 × 2 × 3

Prime factorization of 16 is 2 × 2 × 2 × 2

Prime factorization of 24 is 2 × 2 × 2 × 3

The common factors in the prime factorization of 12, 16, and 24 are 2 and 2.

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

So, HCF of 12, 16, and 24 is 2 × 2 = 4

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