Q:

What is the GCF of 113 and 83?

Accepted Solution

A:
Solution: The GCF of 113 and 83 is 1 Methods How to find the GCF of 113 and 83 using Prime Factorization One way to find the GCF of 113 and 83 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 113? What are the Factors of 83? Here is the prime factorization of 113: 11 3 1 113^1 11 3 1 And this is the prime factorization of 83: 8 3 1 83^1 8 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 113 and 83 is 1. Thus, the GCF of 113 and 83 is: 1 How to Find the GCF of 113 and 83 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 113 and 83 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, 113 and 83: Factors of 113: 1, 113 Factors of 83: 1, 83 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 113 and 83 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 72 and 100? What is the GCF of 66 and 92? What is the GCF of 56 and 46? What is the GCF of 69 and 32? What is the GCF of 78 and 62?