# What is the GCF of 6 and 48?

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

## Answer: GCF of 6 and 48 is 6

GCF of 6 and 48 is the highest number that divides 6 and 48 exactly leaving the remainder 0.

## Explanation:

We can find the GCF by the following methods.

- Prime factorization Method
- Listing the common factors method

### Method 1: Calculate GCF of 6 and 48 by Prime Factorization

Let us represent 6 and 48 as a product of its prime numbers.

Prime factorization of 6 is 2 × 3

Prime factorization of 48 is 2 × 2 × 2 × 2 × 3

The common factor in the prime factorization of 6 and 48 is 6.

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

So, GCF of 6 and 48 is 2 × 3 = 6

### Method 2: Calculate GCF of 6 and 48 by Listing the Common Factors

The factors of 6 and 48 are shown below.

Factors of 6: 1, 2, 3, __6__

Factors of 48: 1, 2, 3, 4, ** 6**, 8, 12, 16, 24, 48

Clearly, the common factors of 6 and 48 are 1, 2, 3 and 6.

The highest common factor of 6 and 48 is 6.

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