# GCF of 40 and 48 Calculator

Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 40, 48 i.e. 8 the largest number that divides both the numbers exactly.

Greatest Common Factor of 40 and 48 is 8

GCF(40, 48) = 8

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

GCF of
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### GCF of 40 and 48 using Prime Factorization Method

Given Inputs are 40, 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 40 as under

 2 40 2 20 2 10 5 5 1

Prime factors of 40 are 2,5. Prime factorization of 40 in exponential form is:

40 = 23×51

Prime Factorization of 48 is as such

 2 48 2 24 2 12 2 6 3 3 1

Prime factors of 48 are 2,3. Prime factorization of 48 in exponential form is:

48 = 24×31

Occurrences of Common Prime Factors from both the numbers 40 and 48 is 8

Therefore, GCF of two numbers 40 and 48 is 8

### GCF of 40, 48 using Factoring Method

Given input data is 40, 48

Make a list of factors for the corresponding input numbers

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

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 8

Therefore, GCF of two numbers 40 ad 48 is 8

### Frequently Asked Questions on GCF of 40 and 48

1. What is the GCF of numbers 40 and 48?

GCF of numbers 40 and 48 is 8.

2. How to find GCF of 40 and 48 easily?

Take the help of GCF Calculator existing and input the numbers 40, 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 40, 48?

You can find an elaborate explanation on finding GCF of 40, 48 on our page.