Solution: The GCF of 135 and 135 is 135MethodsHow to find the GCF of 135 and 135 using Prime FactorizationOne way to find the GCF of 135 and 135 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 135?Here is the prime factorization of 135:33×513^3 × 5^133×51And this is the prime factorization of 135:33×513^3 × 5^133×51When you compare the prime factorization of these two numbers, you can see that there are matching prime factors. You can now find the Greatest Common Factor of 135 and 135 by multiplying all the matching prime factors to get a GCF of 135 and 135 as 225:Thus, the GCF of 135 and 135 is: 225How to Find the GCF of 135 and 135 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 135 and 135 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 135:Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135When you compare the two lists of factors, you can see that the common factor(s) are 1, 3, 5, 9, 15, 27, 45, 135. Since 135 is the largest of these common factors, the GCF of 135 and 135 would be 135.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 89 and 40?What is the GCF of 65 and 130?What is the GCF of 96 and 105?What is the GCF of 20 and 119?What is the GCF of 22 and 106?