Solution: The GCF of 33 and 32 is 1MethodsHow to find the GCF of 33 and 32 using Prime FactorizationOne way to find the GCF of 33 and 32 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 32?Here is the prime factorization of 33:31×1113^1 × 11^131×111And this is the prime factorization of 32:252^525When 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 32 is 1.Thus, the GCF of 33 and 32 is: 1How to Find the GCF of 33 and 32 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 33 and 32 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 32:Factors of 33: 1, 3, 11, 33Factors of 32: 1, 2, 4, 8, 16, 32When 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 32 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 107 and 78?What is the GCF of 35 and 99?What is the GCF of 8 and 109?What is the GCF of 62 and 141?What is the GCF of 95 and 3?