Q:

What is the GCF of 147 and 3?

Accepted Solution

A:
Solution: The GCF of 147 and 3 is 3 Methods How to find the GCF of 147 and 3 using Prime Factorization One way to find the GCF of 147 and 3 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 147? What are the Factors of 3? Here is the prime factorization of 147: 3 1 × 7 2 3^1 × 7^2 3 1 × 7 2 And this is the prime factorization of 3: 3 1 3^1 3 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 147 and 3 by multiplying all the matching prime factors to get a GCF of 147 and 3 as 9: Thus, the GCF of 147 and 3 is: 9 How to Find the GCF of 147 and 3 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 147 and 3 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, 147 and 3: Factors of 147: 1, 3, 7, 21, 49, 147 Factors of 3: 1, 3 When you compare the two lists of factors, you can see that the common factor(s) are 1, 3. Since 3 is the largest of these common factors, the GCF of 147 and 3 would be 3. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 116 and 126? What is the GCF of 72 and 131? What is the GCF of 134 and 1? What is the GCF of 139 and 13? What is the GCF of 114 and 142?