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GCF of 262 and 268

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

Want to know what the GCF of 262 and 268 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 262 and 268. 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 262, 268 using Factoring

In this method, we have to list the factors of 262 and 268 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 262 are 1 , 2 , 131 , and 262

The factors of 268 are 1 , 2 , 4 , 67 , 134 , and 268


As you can see from the aforementioned lists, the largest number that is present in both lists is 2. Therefore, we can determine that the GCF of 262 and 268 is 2.


Greatest Common Factor of 262, 268 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 262 and 268 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  262,   268
 131,   134

From the picture, we can see that 131 and 134 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

2 = 2

Hence, the GCF of 262 and 268 is 2.

Find the GCF of 262 and 268

Given numbers are 262 and 268

To find the greatest common factor of 262 and 268

The GCF of 262 and 268 is 2.

FAQs on GCF of 262 and 268

1. What are the LCM and GCF of 262 and 268?

The LCM and GCF of 262 and 268 are 35108 and 2.

2. How to get the GCF of 262 and 268?

The GCF of 262 and 268 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 262, 268?

The 2 different methods to find the greatest common factor of 262 and 268 are prime factorization and factors of both numbers.