Q:

What is the GCF of 94 and 38?

Accepted Solution

A:
Solution: The GCF of 94 and 38 is 2 Methods How to find the GCF of 94 and 38 using Prime Factorization One way to find the GCF of 94 and 38 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 94? What are the Factors of 38? Here is the prime factorization of 94: 2 1 × 4 7 1 2^1 × 47^1 2 1 × 4 7 1 And this is the prime factorization of 38: 2 1 × 1 9 1 2^1 × 19^1 2 1 × 1 9 1 When 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 94 and 38 by multiplying all the matching prime factors to get a GCF of 94 and 38 as 4: Thus, the GCF of 94 and 38 is: 4 How to Find the GCF of 94 and 38 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 94 and 38 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, 94 and 38: Factors of 94: 1, 2, 47, 94 Factors of 38: 1, 2, 19, 38 When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 94 and 38 would be 2. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 43 and 148? What is the GCF of 39 and 54? What is the GCF of 126 and 10? What is the GCF of 64 and 29? What is the GCF of 147 and 110?