Solution: The GCF of 135 and 146 is 1MethodsHow to find the GCF of 135 and 146 using Prime FactorizationOne way to find the GCF of 135 and 146 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 146?Here is the prime factorization of 135:33×513^3 × 5^133×51And this is the prime factorization of 146:21×7312^1 × 73^121×731When 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 146 is 1.Thus, the GCF of 135 and 146 is: 1How to Find the GCF of 135 and 146 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 135 and 146 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 146:Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135Factors of 146: 1, 2, 73, 146When 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 146 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 144 and 26?What is the GCF of 23 and 101?What is the GCF of 53 and 58?What is the GCF of 86 and 77?What is the GCF of 132 and 59?