Q:

What is the GCF of 59 and 86?

Accepted Solution

A:
Solution: The GCF of 59 and 86 is 1 Methods How to find the GCF of 59 and 86 using Prime Factorization One way to find the GCF of 59 and 86 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 59? What are the Factors of 86? Here is the prime factorization of 59: 5 9 1 59^1 5 9 1 And this is the prime factorization of 86: 2 1 × 4 3 1 2^1 × 43^1 2 1 × 4 3 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 59 and 86 is 1. Thus, the GCF of 59 and 86 is: 1 How to Find the GCF of 59 and 86 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 59 and 86 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, 59 and 86: Factors of 59: 1, 59 Factors of 86: 1, 2, 43, 86 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 59 and 86 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 12 and 82? What is the GCF of 114 and 46? What is the GCF of 29 and 123? What is the GCF of 121 and 34? What is the GCF of 2 and 60?