What is the GCF of 134 and 80?

Solution: The GCF of 134 and 80 is 2

Methods

How to find the GCF of 134 and 80 using Prime Factorization

One way to find the GCF of 134 and 80 is to compare the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:

Here is the prime factorization of 134:

2^1 × 67^1

And this is the prime factorization of 80:

2^4 × 5^1

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 134 and 80 by multiplying all the matching prime factors to get a GCF of 134 and 80 as 4:

Thus, the GCF of 134 and 80 is: 4

How to Find the GCF of 134 and 80 by Listing All Common Factors

The first step to this method of finding the Greatest Common Factor of 134 and 80 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, 134 and 80:

Factors of 134: 1, 2, 67, 134

Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 134 and 80 would be 2.

Find the GCF of Other Number Pairs

Want more practice? Try some of these other GCF problems:

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