Q:

What is the GCF of 5 and 125?

Accepted Solution

A:
Solution: The GCF of 5 and 125 is 5MethodsHow to find the GCF of 5 and 125 using Prime FactorizationOne way to find the GCF of 5 and 125 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 5?What are the Factors of 125?Here is the prime factorization of 5:515^151And this is the prime factorization of 125:535^353When 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 5 and 125 by multiplying all the matching prime factors to get a GCF of 5 and 125 as 25:Thus, the GCF of 5 and 125 is: 25How to Find the GCF of 5 and 125 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 5 and 125 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, 5 and 125:Factors of 5: 1, 5Factors of 125: 1, 5, 25, 125When you compare the two lists of factors, you can see that the common factor(s) are 1, 5. Since 5 is the largest of these common factors, the GCF of 5 and 125 would be 5.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 18 and 88?What is the GCF of 113 and 37?What is the GCF of 33 and 93?What is the GCF of 147 and 43?What is the GCF of 49 and 4?