Q:

What is the GCF of 7 and 100?

Accepted Solution

A:
Solution: The GCF of 7 and 100 is 1 Methods How to find the GCF of 7 and 100 using Prime Factorization One way to find the GCF of 7 and 100 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 7? What are the Factors of 100? Here is the prime factorization of 7: 7 1 7^1 7 1 And this is the prime factorization of 100: 2 2 × 5 2 2^2 × 5^2 2 2 × 5 2 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 7 and 100 is 1. Thus, the GCF of 7 and 100 is: 1 How to Find the GCF of 7 and 100 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 7 and 100 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, 7 and 100: Factors of 7: 1, 7 Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100 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 7 and 100 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 75 and 97? What is the GCF of 33 and 39? What is the GCF of 36 and 66? What is the GCF of 56 and 57? What is the GCF of 12 and 45?