Q:

What is the GCF of 101 and 23?

Accepted Solution

A:
Solution: The GCF of 101 and 23 is 1 Methods How to find the GCF of 101 and 23 using Prime Factorization One way to find the GCF of 101 and 23 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 101? What are the Factors of 23? Here is the prime factorization of 101: 10 1 1 101^1 10 1 1 And this is the prime factorization of 23: 2 3 1 23^1 2 3 1 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 101 and 23 is 1. Thus, the GCF of 101 and 23 is: 1 How to Find the GCF of 101 and 23 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 101 and 23 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, 101 and 23: Factors of 101: 1, 101 Factors of 23: 1, 23 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 101 and 23 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 129? What is the GCF of 56 and 96? What is the GCF of 73 and 44? What is the GCF of 13 and 108? What is the GCF of 128 and 53?