Math Tutor Explains: What is the GCF of 131 and 131?

One way to find the GCF of 131 and 131 is to compare the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:

• What are the Factors of 131?
• What are the Factors of 131?

Here is the prime factorization of 131:

And this is the prime factorization of 131:

When you compare the prime factorization of these two numbers, you can see that there are matching prime factors. You can now find the Greatest Common Factor of 131 and 131 by multiplying all the matching prime factors to get a GCF of 131 and 131 as 17161:

Thus, the GCF of 131 and 131 is: 17161

The first step to this method of finding the Greatest Common Factor of 131 and 131 is to find and list all the factors of each number. Again, you can see how this is done by looking at the “Factors of” articles that are linked to above.

Let’s take a look at the factors for each of these numbers, 131 and 131:

Factors of 131: 1, 131

Factors of 131: 1, 131

When you compare the two lists of factors, you can see that the common factor(s) are 1, 131. Since 131 is the largest of these common factors, the GCF of 131 and 131 would be 131.

Want more practice? Try some of these other GCF problems walkthrough from math tutors:

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