Solution: The GCF of 86 and 125 is 1MethodsHow to find the GCF of 86 and 125 using Prime FactorizationOne way to find the GCF of 86 and 125 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 125?Here is the prime factorization of 86:21×4312^1 × 43^121×431And this is the prime factorization of 125:535^353When 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 125 is 1.Thus, the GCF of 86 and 125 is: 1How to Find the GCF of 86 and 125 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 86 and 125 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 125:Factors of 86: 1, 2, 43, 86Factors of 125: 1, 5, 25, 125When 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 125 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 77 and 125?What is the GCF of 16 and 67?What is the GCF of 143 and 17?What is the GCF of 91 and 72?What is the GCF of 28 and 81?