Q:

What is the GCF of 111 and 62?

Accepted Solution

A:
Solution: The GCF of 111 and 62 is 1MethodsHow to find the GCF of 111 and 62 using Prime FactorizationOne way to find the GCF of 111 and 62 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 62?Here is the prime factorization of 111:31×3713^1 × 37^131×371And this is the prime factorization of 62:21×3112^1 × 31^121×311When 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 62 is 1.Thus, the GCF of 111 and 62 is: 1How to Find the GCF of 111 and 62 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 111 and 62 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 62:Factors of 111: 1, 3, 37, 111Factors of 62: 1, 2, 31, 62When 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 62 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 148 and 104?What is the GCF of 125 and 121?What is the GCF of 117 and 60?What is the GCF of 144 and 149?What is the GCF of 105 and 11?