Solution: The GCF of 58 and 44 is 2MethodsHow to find the GCF of 58 and 44 using Prime FactorizationOne way to find the GCF of 58 and 44 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 58?What are the Factors of 44?Here is the prime factorization of 58:21×2912^1 × 29^121×291And this is the prime factorization of 44:22×1112^2 × 11^122×111When 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 58 and 44 by multiplying all the matching prime factors to get a GCF of 58 and 44 as 4:Thus, the GCF of 58 and 44 is: 4How to Find the GCF of 58 and 44 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 58 and 44 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, 58 and 44:Factors of 58: 1, 2, 29, 58Factors of 44: 1, 2, 4, 11, 22, 44When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 58 and 44 would be 2.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 86 and 11?What is the GCF of 43 and 37?What is the GCF of 4 and 47?What is the GCF of 22 and 29?What is the GCF of 150 and 135?