Solution: The GCF of 127 and 112 is 1MethodsHow to find the GCF of 127 and 112 using Prime FactorizationOne way to find the GCF of 127 and 112 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 112?Here is the prime factorization of 127:1271127^11271And this is the prime factorization of 112:24×712^4 × 7^124×71When 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 112 is 1.Thus, the GCF of 127 and 112 is: 1How to Find the GCF of 127 and 112 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 127 and 112 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 112:Factors of 127: 1, 127Factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112When 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 112 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 131 and 135?What is the GCF of 73 and 3?What is the GCF of 94 and 136?What is the GCF of 150 and 80?What is the GCF of 10 and 134?