# What is the GCF of 32 and 48?

The greatest number which divides each of the two or more numbers is called Greatest Common Factor also known as HCF.

## Answer: GCF of 32 and 48 is 16

Two methods to find the GCF of 32 and 48 are explained below.

## Methods to find GCF of 32 and 48

- GCF of 2 and 6 by Prime Factorization
- GCF of 2 and 6 by Common Factors

### Method1: GCF of 32 and 48 by Prime Factorization

Let us represent 32 and 48 as a product of its prime numbers

Below are the common factors

Common factors = 2, 2, 2, 2

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

GCF is 2× 2 × 2 ×2 = 16

### Method2: GCF of 32 and 48 by Listing the Common Factors

Common Factors of 32 and 54: 1, 2, 8,16

Greatest common factor is 16

### GCF of 32 and 48 is 16

### Therefore, GCF of 32 and 48 is 16

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