Solution: The GCF of 135 and 127 is 1MethodsHow to find the GCF of 135 and 127 using Prime FactorizationOne way to find the GCF of 135 and 127 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 135?What are the Factors of 127?Here is the prime factorization of 135:33×513^3 × 5^133×51And this is the prime factorization of 127:1271127^11271When 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 135 and 127 is 1.Thus, the GCF of 135 and 127 is: 1How to Find the GCF of 135 and 127 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 135 and 127 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, 135 and 127:Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135Factors of 127: 1, 127When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 135 and 127 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 67 and 9?What is the GCF of 66 and 83?What is the GCF of 69 and 107?What is the GCF of 112 and 128?What is the GCF of 129 and 102?