# GCF of 42 and 63 Calculator

Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 42, 63 i.e. 21 the largest number that divides both the numbers exactly.

Greatest Common Factor of 42 and 63 is 21

GCF(42, 63) = 21

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

GCF of
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### GCF of 42 and 63 using Prime Factorization Method

Given Inputs are 42, 63

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 42 as under

 2 42 3 21 7 7 1

Prime factors of 42 are 2,3,7. Prime factorization of 42 in exponential form is:

42 = 21×31×71

Prime Factorization of 63 is as such

 3 63 3 21 7 7 1

Prime factors of 63 are 3,7. Prime factorization of 63 in exponential form is:

63 = 32×71

Occurrences of Common Prime Factors from both the numbers 42 and 63 is 21

Therefore, GCF of two numbers 42 and 63 is 21

### GCF of 42, 63 using Factoring Method

Given input data is 42, 63

Make a list of factors for the corresponding input numbers

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Figure out the highest common factor from factors of both the numbers and that is the GCF. In this case, it is 21

Therefore, GCF of two numbers 42 ad 63 is 21

### Frequently Asked Questions on GCF of 42 and 63

1. What is the GCF of numbers 42 and 63?

GCF of numbers 42 and 63 is 21.

2. How to find GCF of 42 and 63 easily?

Take the help of GCF Calculator existing and input the numbers 42, 63 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 42, 63?

You can find an elaborate explanation on finding GCF of 42, 63 on our page.