Q:

What is the GCF of 103 and 48?

Accepted Solution

A:
Solution: The GCF of 103 and 48 is 1 Methods How to find the GCF of 103 and 48 using Prime Factorization One way to find the GCF of 103 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 103? What are the Factors of 48? Here is the prime factorization of 103: 10 3 1 103^1 10 3 1 And this is the prime factorization of 48: 2 4 × 3 1 2^4 × 3^1 2 4 × 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 103 and 48 is 1. Thus, the GCF of 103 and 48 is: 1 How to Find the GCF of 103 and 48 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 103 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, 103 and 48: Factors of 103: 1, 103 Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 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 103 and 48 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 84 and 74? What is the GCF of 140 and 39? What is the GCF of 108 and 66? What is the GCF of 121 and 136? What is the GCF of 15 and 87?