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GCF of 972 and 978

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

Want to know what the GCF of 972 and 978 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 972 and 978. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

GCF of:
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Detailed Solution to Calculate GCF of 972, 978 using Factoring

In this method, we have to list the factors of 972 and 978 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 972 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 27 , 36 , 54 , 81 , 108 , 162 , 243 , 324 , 486 , and 972

The factors of 978 are 1 , 2 , 3 , 6 , 163 , 326 , 489 , and 978


As you can see from the aforementioned lists, the largest number that is present in both lists is 6. Therefore, we can determine that the GCF of 972 and 978 is 6.


Greatest Common Factor of 972, 978 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 972 and 978 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  972,   978
3  486,   489
 162,   163

From the picture, we can see that 162 and 163 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 3 = 6

Hence, the GCF of 972 and 978 is 6.

Find the GCF of 972 and 978

Given numbers are 972 and 978

To find the greatest common factor of 972 and 978

The GCF of 972 and 978 is 6.

FAQs on GCF of 972 and 978

1. What are the LCM and GCF of 972 and 978?

The LCM and GCF of 972 and 978 are 158436 and 6.

2. How to get the GCF of 972 and 978?

The GCF of 972 and 978 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 972, 978?

The 2 different methods to find the greatest common factor of 972 and 978 are prime factorization and factors of both numbers.