Q:

What is the GCF of 111 and 76?

Accepted Solution

A:
Solution: The GCF of 111 and 76 is 1 Methods How to find the GCF of 111 and 76 using Prime Factorization One way to find the GCF of 111 and 76 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 111? What are the Factors of 76? Here is the prime factorization of 111: 3 1 × 3 7 1 3^1 × 37^1 3 1 × 3 7 1 And this is the prime factorization of 76: 2 2 × 1 9 1 2^2 × 19^1 2 2 × 1 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 111 and 76 is 1. Thus, the GCF of 111 and 76 is: 1 How to Find the GCF of 111 and 76 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 111 and 76 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, 111 and 76: Factors of 111: 1, 3, 37, 111 Factors of 76: 1, 2, 4, 19, 38, 76 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 111 and 76 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 19 and 94? What is the GCF of 149 and 115? What is the GCF of 116 and 107? What is the GCF of 140 and 132? What is the GCF of 148 and 146?