Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 28, 42 i.e. 14 the largest number that divides both the numbers exactly.
Greatest Common Factor of 28 and 42 is 14
GCF(28, 42) = 14
Ex: number 1 - 1500 and number 2 - 20.
Given Inputs are 28, 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 28 as under
| 2 | 28 |
| 2 | 14 |
| 7 | 7 |
| 1 |
Prime factors of 28 are 2,7. Prime factorization of 28 in exponential form is:
28 = 22×71
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 28 and 42 is 14
Therefore, GCF of two numbers 28 and 42 is 14
Given input data is 28, 42
Make a list of factors for the corresponding input numbers
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
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 14
Therefore, GCF of two numbers 28 ad 42 is 14
1. What is the GCF of numbers 28 and 42?
GCF of numbers 28 and 42 is 14.
2. How to find GCF of 28 and 42 easily?
Take the help of GCF Calculator existing and input the numbers 28, 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 28, 42?
You can find an elaborate explanation on finding GCF of 28, 42 on our page.