Solution: The GCF of 104 and 77 is 1MethodsHow to find the GCF of 104 and 77 using Prime FactorizationOne way to find the GCF of 104 and 77 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 104?What are the Factors of 77?Here is the prime factorization of 104:23×1312^3 × 13^123×131And this is the prime factorization of 77:71×1117^1 × 11^171×111When 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 104 and 77 is 1.Thus, the GCF of 104 and 77 is: 1How to Find the GCF of 104 and 77 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 104 and 77 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, 104 and 77:Factors of 104: 1, 2, 4, 8, 13, 26, 52, 104Factors of 77: 1, 7, 11, 77When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 104 and 77 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 26 and 80?What is the GCF of 5 and 117?What is the GCF of 12 and 23?What is the GCF of 87 and 97?What is the GCF of 60 and 18?