# GCF of 18 and 42 Calculator

Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 18, 42 i.e. 6 the largest number that divides both the numbers exactly.

Greatest Common Factor of 18 and 42 is 6

GCF(18, 42) = 6

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

GCF of
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### GCF of 18 and 42 using Prime Factorization Method

Given Inputs are 18, 42

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 18 as under

 2 18 3 9 3 3 1

Prime factors of 18 are 2,3. Prime factorization of 18 in exponential form is:

18 = 21×32

Prime Factorization of 42 is as such

 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

Occurrences of Common Prime Factors from both the numbers 18 and 42 is 6

Therefore, GCF of two numbers 18 and 42 is 6

### GCF of 18, 42 using Factoring Method

Given input data is 18, 42

Make a list of factors for the corresponding input numbers

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 42

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

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

Figure out the highest common factor from factors of both the numbers and that is the GCF. In this case, it is 6

Therefore, GCF of two numbers 18 ad 42 is 6

### Frequently Asked Questions on GCF of 18 and 42

1. What is the GCF of numbers 18 and 42?

GCF of numbers 18 and 42 is 6.

2. How to find GCF of 18 and 42 easily?

Take the help of GCF Calculator existing and input the numbers 18, 42 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 18, 42?

You can find an elaborate explanation on finding GCF of 18, 42 on our page.