Math Tutor Explains: What is the GCF of 149 and 149?

One way to find the GCF of 149 and 149 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 149?
• What are the Factors of 149?

Here is the prime factorization of 149:

And this is the prime factorization of 149:

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 149 and 149 by multiplying all the matching prime factors to get a GCF of 149 and 149 as 22201:

Thus, the GCF of 149 and 149 is: 22201

The first step to this method of finding the Greatest Common Factor of 149 and 149 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, 149 and 149:

Factors of 149: 1, 149

Factors of 149: 1, 149

When you compare the two lists of factors, you can see that the common factor(s) are 1, 149. Since 149 is the largest of these common factors, the GCF of 149 and 149 would be 149.

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

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