Solution: The GCF of 33 and 40 is 1MethodsHow to find the GCF of 33 and 40 using Prime FactorizationOne way to find the GCF of 33 and 40 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 33?What are the Factors of 40?Here is the prime factorization of 33:31×1113^1 × 11^131×111And this is the prime factorization of 40:23×512^3 × 5^123×51When 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 33 and 40 is 1.Thus, the GCF of 33 and 40 is: 1How to Find the GCF of 33 and 40 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 33 and 40 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, 33 and 40:Factors of 33: 1, 3, 11, 33Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 33 and 40 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 35 and 139?What is the GCF of 115 and 42?What is the GCF of 64 and 54?What is the GCF of 124 and 127?What is the GCF of 94 and 3?