Solution: The GCF of 104 and 104 is 104MethodsHow to find the GCF of 104 and 104 using Prime FactorizationOne way to find the GCF of 104 and 104 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 104?What are the Factors of 104?Here is the prime factorization of 104:23×1312^3 × 13^123×131And this is the prime factorization of 104:23×1312^3 × 13^123×131When 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 104 and 104 by multiplying all the matching prime factors to get a GCF of 104 and 104 as 676:Thus, the GCF of 104 and 104 is: 676How to Find the GCF of 104 and 104 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 104 and 104 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, 104 and 104:Factors of 104: 1, 2, 4, 8, 13, 26, 52, 104Factors of 104: 1, 2, 4, 8, 13, 26, 52, 104When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 4, 8, 13, 26, 52, 104. Since 104 is the largest of these common factors, the GCF of 104 and 104 would be 104.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 72 and 20?What is the GCF of 127 and 40?What is the GCF of 103 and 119?What is the GCF of 76 and 68?What is the GCF of 106 and 90?