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GCF of 48 and 8

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

Want to know what the GCF of 48 and 8 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 48 and 8. 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 48, 8 using Factoring

In this method, we have to list the factors of 48 and 8 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 48 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , and 48

The factors of 8 are 1 , 2 , 4 , and 8


As you can see from the aforementioned lists, the largest number that is present in both lists is 8. Therefore, we can determine that the GCF of 48 and 8 is 8.


Greatest Common Factor of 48, 8 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 48 and 8 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  48,   8
2  24,   4
2  12,   2
 6,   1

From the picture, we can see that 6 and 1 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 2 x 2 = 8

Hence, the GCF of 48 and 8 is 8.

Find the GCF of 48 and 8

Given numbers are 48 and 8

To find the greatest common factor of 48 and 8

The GCF of 48 and 8 is 8.

FAQs on GCF of 48 and 8

1. What are the LCM and GCF of 48 and 8?

The LCM and GCF of 48 and 8 are 48 and 8.

2. How to get the GCF of 48 and 8?

The GCF of 48 and 8 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 48, 8?

The 2 different methods to find the greatest common factor of 48 and 8 are prime factorization and factors of both numbers.