# GCF of 16 and 48 Calculator

Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 16, 48 i.e. 16 the largest number that divides both the numbers exactly.

Greatest Common Factor of 16 and 48 is 16

GCF(16, 48) = 16

Ex: number 1 - 1500 and number 2 - 20.

GCF of
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### GCF of 16 and 48 using Prime Factorization Method

Given Inputs are 16, 48

To find the GCF using the Prime Factorization Method you just need to list out the prime factors of both the numbers.

Prime Factorization of 16 as under

 2 16 2 8 2 4 2 2 1

Prime factors of 16 are 2. Prime factorization of 16 in exponential form is:

16 = 24

Prime Factorization of 48 is as such

 2 48 2 24 2 12 2 6 3 3 1

Prime factors of 48 are 2.Prime factorization of 48 in exponential form is:

48 = 24×31

Occurrences of Common Prime Factors from both the numbers 16 and 48 is 16

Therefore, GCF of two numbers 16 and 48 is 16

### GCF of 16, 48 using Factoring Method

Given input data is 16, 48

Make a list of factors for the corresponding input numbers

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Figure out the highest common factor from factors of both the numbers and that is the GCF. In this case, it is 16

Therefore, GCF of two numbers 16 ad 48 is 16

### Frequently Asked Questions on GCF of 16 and 48

1. What is the GCF of numbers 16 and 48?

GCF of numbers 16 and 48 is 16.

2. How to find GCF of 16 and 48 easily?

Take the help of GCF Calculator existing and input the numbers 16, 48 in the input field provided and tap on the Calculate Button to avail the Greatest Common Factor with detailed steps.

3. Where do I find an elaborate explanation on finding GCF of 16, 48?

You can find an elaborate explanation on finding GCF of 16, 48 on our page.