Q:

What is the GCF of 131 and 88?

Accepted Solution

A:
Solution: The GCF of 131 and 88 is 1 Methods How to find the GCF of 131 and 88 using Prime Factorization One way to find the GCF of 131 and 88 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 88? Here is the prime factorization of 131: 13 1 1 131^1 13 1 1 And this is the prime factorization of 88: 2 3 × 1 1 1 2^3 × 11^1 2 3 × 1 1 1 When you compare the prime factorization of these two numbers, you can see that there are no matching prime factors. When this is the case, it means that there are no common factors between these two numbers. As a result, the GCF of 131 and 88 is 1. Thus, the GCF of 131 and 88 is: 1 How to Find the GCF of 131 and 88 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 131 and 88 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 88: Factors of 131: 1, 131 Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88 When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 131 and 88 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 55 and 72? What is the GCF of 77 and 125? What is the GCF of 65 and 46? What is the GCF of 22 and 41? What is the GCF of 66 and 13?