Q:

What is the GCF of 15 and 116?

Accepted Solution

A:
Solution: The GCF of 15 and 116 is 1 Methods How to find the GCF of 15 and 116 using Prime Factorization One way to find the GCF of 15 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 15? What are the Factors of 116? Here is the prime factorization of 15: 3 1 × 5 1 3^1 × 5^1 3 1 × 5 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 15 and 116 is 1. Thus, the GCF of 15 and 116 is: 1 How to Find the GCF of 15 and 116 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 15 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, 15 and 116: Factors of 15: 1, 3, 5, 15 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 15 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 5 and 115? What is the GCF of 73 and 101? What is the GCF of 102 and 1? What is the GCF of 21 and 16? What is the GCF of 32 and 93?