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GCF of 115 and 122

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

Want to know what the GCF of 115 and 122 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 115 and 122. 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 115, 122 using Factoring

In this method, we have to list the factors of 115 and 122 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 115 are 1 , 5 , 23 , and 115

The factors of 122 are 1 , 2 , 61 , and 122


As you can see from the aforementioned lists, the largest number that is present in both lists is 1. Therefore, we can determine that the GCF of 115 and 122 is 1.


Greatest Common Factor of 115, 122 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 115 and 122 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.

 115,   122

From the picture, we can see that 115 and 122 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

= 1

Hence, the GCF of 115 and 122 is 1.

Find the GCF of 115 and 122

Given numbers are 115 and 122

To find the greatest common factor of 115 and 122

The GCF of 115 and 122 is 1.

FAQs on GCF of 115 and 122

1. What are the LCM and GCF of 115 and 122?

The LCM and GCF of 115 and 122 are 14030 and 1.

2. How to get the GCF of 115 and 122?

The GCF of 115 and 122 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 115, 122?

The 2 different methods to find the greatest common factor of 115 and 122 are prime factorization and factors of both numbers.