Q:

What is the GCF of 6 and 62?

Accepted Solution

A:
Solution: The GCF of 6 and 62 is 2 Methods How to find the GCF of 6 and 62 using Prime Factorization One way to find the GCF of 6 and 62 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 6? What are the Factors of 62? Here is the prime factorization of 6: 2 1 × 3 1 2^1 × 3^1 2 1 × 3 1 And this is the prime factorization of 62: 2 1 × 3 1 1 2^1 × 31^1 2 1 × 3 1 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 6 and 62 by multiplying all the matching prime factors to get a GCF of 6 and 62 as 4: Thus, the GCF of 6 and 62 is: 4 How to Find the GCF of 6 and 62 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 6 and 62 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, 6 and 62: Factors of 6: 1, 2, 3, 6 Factors of 62: 1, 2, 31, 62 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 6 and 62 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 132 and 90? What is the GCF of 123 and 104? What is the GCF of 14 and 34? What is the GCF of 150 and 60? What is the GCF of 120 and 130?