Solution: The GCF of 59 and 22 is 1MethodsHow to find the GCF of 59 and 22 using Prime FactorizationOne way to find the GCF of 59 and 22 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 22?Here is the prime factorization of 59:59159^1591And this is the prime factorization of 22:21×1112^1 × 11^121×111When you compare the prime factorization of these two numbers, you can see that there are no matching prime factors. When this is the case, it means that there are no common factors between these two numbers. As a result, the GCF of 59 and 22 is 1.Thus, the GCF of 59 and 22 is: 1How to Find the GCF of 59 and 22 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 59 and 22 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 22:Factors of 59: 1, 59Factors of 22: 1, 2, 11, 22When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 59 and 22 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 128 and 43?What is the GCF of 44 and 105?What is the GCF of 3 and 18?What is the GCF of 136 and 35?What is the GCF of 127 and 29?