Solution: The GCF of 33 and 33 is 33MethodsHow to find the GCF of 33 and 33 using Prime FactorizationOne way to find the GCF of 33 and 33 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 33?Here is the prime factorization of 33:31×1113^1 × 11^131×111And this is the prime factorization of 33:31×1113^1 × 11^131×111When 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 33 by multiplying all the matching prime factors to get a GCF of 33 and 33 as 1089:Thus, the GCF of 33 and 33 is: 1089How to Find the GCF of 33 and 33 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 33 and 33 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 33:Factors of 33: 1, 3, 11, 33Factors of 33: 1, 3, 11, 33When you compare the two lists of factors, you can see that the common factor(s) are 1, 3, 11, 33. Since 33 is the largest of these common factors, the GCF of 33 and 33 would be 33.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 6 and 57?What is the GCF of 119 and 19?What is the GCF of 139 and 62?What is the GCF of 140 and 84?What is the GCF of 104 and 106?