Solution: The GCF of 144 and 64 is 16MethodsHow to find the GCF of 144 and 64 using Prime FactorizationOne way to find the GCF of 144 and 64 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 144?What are the Factors of 64?Here is the prime factorization of 144:24×322^4 × 3^224×32And this is the prime factorization of 64:262^626When 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 144 and 64 by multiplying all the matching prime factors to get a GCF of 144 and 64 as 4:Thus, the GCF of 144 and 64 is: 4How to Find the GCF of 144 and 64 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 144 and 64 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, 144 and 64:Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144Factors of 64: 1, 2, 4, 8, 16, 32, 64When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 4, 8, 16. Since 16 is the largest of these common factors, the GCF of 144 and 64 would be 16.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 141 and 75?What is the GCF of 57 and 73?What is the GCF of 5 and 149?What is the GCF of 77 and 21?What is the GCF of 128 and 125?