Solution: The GCF of 137 and 14 is 1MethodsHow to find the GCF of 137 and 14 using Prime FactorizationOne way to find the GCF of 137 and 14 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 137?What are the Factors of 14?Here is the prime factorization of 137:1371137^11371And this is the prime factorization of 14:21×712^1 × 7^121×71When 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 137 and 14 is 1.Thus, the GCF of 137 and 14 is: 1How to Find the GCF of 137 and 14 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 137 and 14 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, 137 and 14:Factors of 137: 1, 137Factors of 14: 1, 2, 7, 14When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 137 and 14 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 150 and 67?What is the GCF of 37 and 138?What is the GCF of 65 and 84?What is the GCF of 57 and 3?What is the GCF of 85 and 87?