Solution: The GCF of 79 and 8 is 1MethodsHow to find the GCF of 79 and 8 using Prime FactorizationOne way to find the GCF of 79 and 8 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 79?What are the Factors of 8?Here is the prime factorization of 79:79179^1791And this is the prime factorization of 8:232^323When 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 79 and 8 is 1.Thus, the GCF of 79 and 8 is: 1How to Find the GCF of 79 and 8 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 79 and 8 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, 79 and 8:Factors of 79: 1, 79Factors of 8: 1, 2, 4, 8When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 79 and 8 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 103 and 145?What is the GCF of 10 and 71?What is the GCF of 46 and 149?What is the GCF of 84 and 74?What is the GCF of 9 and 110?