Solution: The GCF of 33 and 69 is 3MethodsHow to find the GCF of 33 and 69 using Prime FactorizationOne way to find the GCF of 33 and 69 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 69?Here is the prime factorization of 33:31×1113^1 × 11^131×111And this is the prime factorization of 69:31×2313^1 × 23^131×231When 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 33 and 69 by multiplying all the matching prime factors to get a GCF of 33 and 69 as 9:Thus, the GCF of 33 and 69 is: 9How to Find the GCF of 33 and 69 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 33 and 69 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 69:Factors of 33: 1, 3, 11, 33Factors of 69: 1, 3, 23, 69When you compare the two lists of factors, you can see that the common factor(s) are 1, 3. Since 3 is the largest of these common factors, the GCF of 33 and 69 would be 3.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 132 and 137?What is the GCF of 57 and 134?What is the GCF of 42 and 55?What is the GCF of 76 and 96?What is the GCF of 14 and 125?