Solution: The GCF of 127 and 140 is 1MethodsHow to find the GCF of 127 and 140 using Prime FactorizationOne way to find the GCF of 127 and 140 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 140?Here is the prime factorization of 127:1271127^11271And this is the prime factorization of 140:22×51×712^2 × 5^1 × 7^122×51×71When 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 140 is 1.Thus, the GCF of 127 and 140 is: 1How to Find the GCF of 127 and 140 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 127 and 140 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 140:Factors of 127: 1, 127Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140When 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 140 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 99 and 33?What is the GCF of 26 and 41?What is the GCF of 106 and 55?What is the GCF of 89 and 8?What is the GCF of 43 and 137?