MATH SOLVE

3 months ago

Q:
# What is the GCF of 64 and 48?

Accepted Solution

A:

Solution: The GCF of 64 and 48 is 16MethodsHow to find the GCF of 64 and 48 using Prime FactorizationOne way to find the GCF of 64 and 48 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 64?What are the Factors of 48?Here is the prime factorization of 64:262^626And this is the prime factorization of 48:24×312^4 × 3^124×31When 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 64 and 48 by multiplying all the matching prime factors to get a GCF of 64 and 48 as 4:Thus, the GCF of 64 and 48 is: 4How to Find the GCF of 64 and 48 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 64 and 48 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, 64 and 48:Factors of 64: 1, 2, 4, 8, 16, 32, 64Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48When 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 64 and 48 would be 16.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 32 and 86?What is the GCF of 88 and 116?What is the GCF of 34 and 35?What is the GCF of 37 and 16?What is the GCF of 53 and 5?