Q:

What is the GCF of 47 and 116?

Accepted Solution

A:
Solution: The GCF of 47 and 116 is 1 Methods How to find the GCF of 47 and 116 using Prime Factorization One way to find the GCF of 47 and 116 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 47? What are the Factors of 116? Here is the prime factorization of 47: 4 7 1 47^1 4 7 1 And this is the prime factorization of 116: 2 2 × 2 9 1 2^2 × 29^1 2 2 × 2 9 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 47 and 116 is 1. Thus, the GCF of 47 and 116 is: 1 How to Find the GCF of 47 and 116 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 47 and 116 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, 47 and 116: Factors of 47: 1, 47 Factors of 116: 1, 2, 4, 29, 58, 116 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 47 and 116 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 147? What is the GCF of 20 and 129? What is the GCF of 123 and 12? What is the GCF of 59 and 71? What is the GCF of 111 and 75?