What are the Factors of 28?

Factors of 28 are . There are integers that are factors of 28. The greatest factor of 28 is 28.

What are the Factors of 42?

Factors of 42 are . There are integers that are factors of 42. The greatest factor of 42 is 42.

How to Find the GCF of 28 and 42?

Greatest Common Factor of 28 and 42 = 14 Step 1: Find the prime factorization of 28 28 = [1, 2, 4, 7, 14, 28] Step 2: Find the prime factorization of 42 42 = [1, 2, 3, 6, 7, 14, 21, 42] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[2, 7] = 14 Step 4: Therefore, the greatest common factor of 28 and 42 is 14.

What are the Factors of 28?

Factors of 28 are . There are integers that are factors of 28. The greatest factor of 28 is 28.

What are the Factors of 42?

Factors of 42 are . There are integers that are factors of 42. The greatest factor of 42 is 42.

How to Find the GCF of 28 and 42?

Greatest Common Factor of 28 and 42 = 14 Step 1: Find the prime factorization of 28 28 = [1, 2, 4, 7, 14, 28] Step 2: Find the prime factorization of 42 42 = [1, 2, 3, 6, 7, 14, 21, 42] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[2, 7] = 14 Step 4: Therefore, the greatest common factor of 28 and 42 is 14.

GCF of 28 and 42

Created By : Prasanna
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Want to know what the GCF of 28 and 42 is? We will not only show you the answer but will also teach you two different methods through which you can easily find the greatest common factor of 28 and 42. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 28, 42 using Factoring

In this method, we have to list the factors of 28 and 42 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 28 are 1 , 2 , 4 , 7 , 14 , and 28

The factors of 42 are 1 , 2 , 3 , 6 , 7 , 14 , 21 , and 42

As you can see from the aforementioned lists, the largest number that is present in both lists is 14. Therefore, we can determine that the GCF of 28 and 42 is 14.

Greatest Common Factor of 28, 42 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 28 and 42 with the same prime number and keep going until the numbers can no longer be divided by the same prime number. At that point, you must stop the process and multiply the prime numbers on the left side. The result will be the greatest common factor.

2	28, 42
7	14, 21
	2, 3

From the picture, we can see that 2 and 3 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

2 x 7 = 14

Hence, the GCF of 28 and 42 is 14.

Find the GCF of 28 and 42

Given numbers are 28 and 42

To find the greatest common factor of 28 and 42

The GCF of 28 and 42 is 14.

FAQs on GCF of 28 and 42

1. What are the LCM and GCF of 28 and 42?

The LCM and GCF of 28 and 42 are 84 and 14.

2. How to get the GCF of 28 and 42?

The GCF of 28 and 42 can be calculated by finding the factors of both numbers and identifying the highest common factor in both.

3. What are the Methods to Find GCF of 28, 42?

The 2 different methods to find the greatest common factor of 28 and 42 are prime factorization and factors of both numbers.