Solution: The GCF of 86 and 117 is 1MethodsHow to find the GCF of 86 and 117 using Prime FactorizationOne way to find the GCF of 86 and 117 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 86?What are the Factors of 117?Here is the prime factorization of 86:21×4312^1 × 43^121×431And this is the prime factorization of 117:32×1313^2 × 13^132×131When 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 86 and 117 is 1.Thus, the GCF of 86 and 117 is: 1How to Find the GCF of 86 and 117 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 86 and 117 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, 86 and 117:Factors of 86: 1, 2, 43, 86Factors of 117: 1, 3, 9, 13, 39, 117When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 86 and 117 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 108 and 141?What is the GCF of 124 and 13?What is the GCF of 72 and 147?What is the GCF of 11 and 109?What is the GCF of 88 and 23?