MATH SOLVE

1 month ago

Q:
# What is the GCF of 111 and 65?

Accepted Solution

A:

Solution: The GCF of 111 and 65 is 1MethodsHow to find the GCF of 111 and 65 using Prime FactorizationOne way to find the GCF of 111 and 65 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 65?Here is the prime factorization of 111:31×3713^1 × 37^131×371And this is the prime factorization of 65:51×1315^1 × 13^151×131When 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 65 is 1.Thus, the GCF of 111 and 65 is: 1How to Find the GCF of 111 and 65 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 111 and 65 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 65:Factors of 111: 1, 3, 37, 111Factors of 65: 1, 5, 13, 65When 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 65 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 96 and 67?What is the GCF of 24 and 144?What is the GCF of 109 and 18?What is the GCF of 100 and 113?What is the GCF of 16 and 116?