What is the GCF of 132 and 143?

Solution: The GCF of 132 and 143 is 11

Methods

How to find the GCF of 132 and 143 using Prime Factorization

One way to find the GCF of 132 and 143 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 132:

2^2 × 3^1 × 11^1

And this is the prime factorization of 143:

11^1 × 13^1

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 132 and 143 by multiplying all the matching prime factors to get a GCF of 132 and 143 as 121:

Thus, the GCF of 132 and 143 is: 121

How to Find the GCF of 132 and 143 by Listing All Common Factors

The first step to this method of finding the Greatest Common Factor of 132 and 143 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, 132 and 143:

Factors of 132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Factors of 143: 1, 11, 13, 143

When you compare the two lists of factors, you can see that the common factor(s) are 1, 11. Since 11 is the largest of these common factors, the GCF of 132 and 143 would be 11.

Find the GCF of Other Number Pairs

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

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