Q:

What is the GCF of 136 and 111?

Accepted Solution

A:
Solution: The GCF of 136 and 111 is 1 Methods How to find the GCF of 136 and 111 using Prime Factorization One way to find the GCF of 136 and 111 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 136? What are the Factors of 111? Here is the prime factorization of 136: 2 3 × 1 7 1 2^3 × 17^1 2 3 × 1 7 1 And this is the prime factorization of 111: 3 1 × 3 7 1 3^1 × 37^1 3 1 × 3 7 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 136 and 111 is 1. Thus, the GCF of 136 and 111 is: 1 How to Find the GCF of 136 and 111 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 136 and 111 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, 136 and 111: Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136 Factors of 111: 1, 3, 37, 111 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 136 and 111 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 64 and 116? What is the GCF of 62 and 61? What is the GCF of 122 and 123? What is the GCF of 93 and 29? What is the GCF of 72 and 134?