Solution: The GCF of 127 and 106 is 1MethodsHow to find the GCF of 127 and 106 using Prime FactorizationOne way to find the GCF of 127 and 106 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 106?Here is the prime factorization of 127:1271127^11271And this is the prime factorization of 106:21×5312^1 × 53^121×531When 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 106 is 1.Thus, the GCF of 127 and 106 is: 1How to Find the GCF of 127 and 106 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 127 and 106 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 106:Factors of 127: 1, 127Factors of 106: 1, 2, 53, 106When 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 106 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 123?What is the GCF of 53 and 128?What is the GCF of 136 and 55?What is the GCF of 101 and 16?What is the GCF of 109 and 32?