Solution: The GCF of 127 and 147 is 1MethodsHow to find the GCF of 127 and 147 using Prime FactorizationOne way to find the GCF of 127 and 147 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 147?Here is the prime factorization of 127:1271127^11271And this is the prime factorization of 147:31×723^1 × 7^231×72When 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 147 is 1.Thus, the GCF of 127 and 147 is: 1How to Find the GCF of 127 and 147 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 127 and 147 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 147:Factors of 127: 1, 127Factors of 147: 1, 3, 7, 21, 49, 147When 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 147 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 62 and 60?What is the GCF of 130 and 139?What is the GCF of 66 and 58?What is the GCF of 97 and 123?What is the GCF of 35 and 25?