Solution: The GCF of 59 and 59 is 59MethodsHow to find the GCF of 59 and 59 using Prime FactorizationOne way to find the GCF of 59 and 59 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 59?What are the Factors of 59?Here is the prime factorization of 59:59159^1591And this is the prime factorization of 59:59159^1591When 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 59 and 59 by multiplying all the matching prime factors to get a GCF of 59 and 59 as 3481:Thus, the GCF of 59 and 59 is: 3481How to Find the GCF of 59 and 59 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 59 and 59 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, 59 and 59:Factors of 59: 1, 59Factors of 59: 1, 59When you compare the two lists of factors, you can see that the common factor(s) are 1, 59. Since 59 is the largest of these common factors, the GCF of 59 and 59 would be 59.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 138 and 6?What is the GCF of 73 and 24?What is the GCF of 122 and 57?What is the GCF of 68 and 19?What is the GCF of 95 and 115?