Are you looking for a way to calculate the greatest common factor of 28, 42, 56 ? Well, you’re in luck! In this article, we will be showing you how to use two different methods to find the GCF of 28, 42, 56. We also provide a free GCF of Two or More Numbers Calculator to obtain instant results.

Given numbers are 28, 42, 56

The greatest common factor of 28, 42, 56 can be found by using the following 2 different methods.

The GCF of 28, 42, 56 is **14**.

Prime factorization is basically division by prime numbers only. Keep dividing all numbers by the same prime number, until the numbers can no longer be divided by a single prime number. Then, multiply all the prime numbers that are on the left side.

2 | 28, 42, 56 |

7 | 14, 21, 28 |

2, 3, 4 |

∴ Thus, the GCF of given numbers is 2 x 7 = 14

The common factor method requires listing down all the factors of 28,42,56 that divide each of these numbers without leaving a remainder. To begin, let us list down the factors

**list down the factors of 28**

1,2,4,7,14,28

**list down the factors of 42**

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

**list down the factors of 56**

1,2,4,7,8,14,28,56

**Greatest Common Factor**

Once you have listed down the factors, all you have to do is look for the highest factor that appears in all the three aforementioned lists. The greatest number that we can see in all lists is **14** . Therefore, the GCF of ** 28,42,56 is 14 **

**1. What is the GCF of 28, 42, 56 ?**

Answer: GCF of 28, 42, 56 is 14.

**2. How to calculate the GCF of 28, 42, 56 ?**

Answer: You can use two different methods: listing down the factors, and prime factorization. If you want to use the listing method, then simply write down all the factors of 28, 42, 56. Then, select the greatest number that appears in lists. From this, you will see that the GCF is 14. Next, you can also use the prime factorization method to divide the numbers by prime numbers. Then, multiply the prime numbers on the side to get your answer, which is 14.