Solution: The GCF of 86 and 107 is 1MethodsHow to find the GCF of 86 and 107 using Prime FactorizationOne way to find the GCF of 86 and 107 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 107?Here is the prime factorization of 86:21×4312^1 × 43^121×431And this is the prime factorization of 107:1071107^11071When 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 107 is 1.Thus, the GCF of 86 and 107 is: 1How to Find the GCF of 86 and 107 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 86 and 107 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 107:Factors of 86: 1, 2, 43, 86Factors of 107: 1, 107When 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 107 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 60 and 37?What is the GCF of 65 and 81?What is the GCF of 132 and 120?What is the GCF of 29 and 9?What is the GCF of 128 and 77?