Q:

What is the GCF of 136 and 125?

Accepted Solution

A:
Solution: The GCF of 136 and 125 is 1 Methods How to find the GCF of 136 and 125 using Prime Factorization One way to find the GCF of 136 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 136? What are the Factors of 125? Here is the prime factorization of 136: 2 3 × 1 7 1 2^3 × 17^1 2 3 × 1 7 1 And this is the prime factorization of 125: 5 3 5^3 5 3 When 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 136 and 125 is 1. Thus, the GCF of 136 and 125 is: 1 How to Find the GCF of 136 and 125 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 136 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, 136 and 125: Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136 Factors of 125: 1, 5, 25, 125 When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 136 and 125 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 61 and 96? What is the GCF of 110 and 98? What is the GCF of 8 and 100? What is the GCF of 93 and 116? What is the GCF of 22 and 33?