Solution: The GCF of 127 and 142 is 1MethodsHow to find the GCF of 127 and 142 using Prime FactorizationOne way to find the GCF of 127 and 142 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 142?Here is the prime factorization of 127:1271127^11271And this is the prime factorization of 142:21×7112^1 × 71^121×711When 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 142 is 1.Thus, the GCF of 127 and 142 is: 1How to Find the GCF of 127 and 142 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 127 and 142 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 142:Factors of 127: 1, 127Factors of 142: 1, 2, 71, 142When 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 142 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 33 and 128?What is the GCF of 70 and 88?What is the GCF of 48 and 89?What is the GCF of 81 and 111?What is the GCF of 108 and 124?