Solution: The GCF of 127 and 104 is 1MethodsHow to find the GCF of 127 and 104 using Prime FactorizationOne way to find the GCF of 127 and 104 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 127?What are the Factors of 104?Here is the prime factorization of 127:1271127^11271And this is the prime factorization of 104:23×1312^3 × 13^123×131When 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 127 and 104 is 1.Thus, the GCF of 127 and 104 is: 1How to Find the GCF of 127 and 104 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 127 and 104 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, 127 and 104:Factors of 127: 1, 127Factors of 104: 1, 2, 4, 8, 13, 26, 52, 104When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 127 and 104 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 34 and 91?What is the GCF of 52 and 135?What is the GCF of 138 and 38?What is the GCF of 87 and 67?What is the GCF of 27 and 59?