Solution: The GCF of 148 and 5 is 1MethodsHow to find the GCF of 148 and 5 using Prime FactorizationOne way to find the GCF of 148 and 5 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 148?What are the Factors of 5?Here is the prime factorization of 148:22×3712^2 × 37^122×371And this is the prime factorization of 5:515^151When 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 148 and 5 is 1.Thus, the GCF of 148 and 5 is: 1How to Find the GCF of 148 and 5 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 148 and 5 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, 148 and 5:Factors of 148: 1, 2, 4, 37, 74, 148Factors of 5: 1, 5When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 148 and 5 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 147 and 19?What is the GCF of 39 and 60?What is the GCF of 23 and 50?What is the GCF of 90 and 83?What is the GCF of 117 and 61?