Finding the Greatest Common Factor

The video tutorial from MooMooMath explains the concept of the Greatest Common Factor (GCF). It begins with a quick introduction and examples of finding the GCF using prime factorization. The tutorial then outlines the rules for determining the GCF, including completing prime factorization, pairing common factors, and multiplying them. A detailed, step-by-step example is provided to reinforce the learning, demonstrating different methods of factorization. The video concludes with a recap of the process and emphasizes the importance of identifying common factors to find the GCF.

What is the prime factorization of 30 as shown in the quick example?

• 2 x 15

• 5 x 6

• 3 x 10

• 2 x 3 x 5

In the quick example, what is the greatest common factor of 30 and 42?

• 3

• 6

• 12

• 9

What is the first step in finding the greatest common factor according to the rules?

• Divide the numbers

• Subtract the smaller number from the larger

• Complete prime factorization for each number

• Add the numbers

What should you do after completing the prime factorization of each number?

• Multiply all factors

• Pair the common factors

• Add the factors

• Subtract the factors

How do you find the greatest common factor after identifying the common factors?

• Subtract them

• Divide them

• Multiply them together

• Add them together

In the step-by-step example, what is the prime factorization of 42?

• 6 x 7

• 2 x 3 x 7

• 3 x 14

• 2 x 21

What is the alternative factorization method used for 30 in the step-by-step example?

• 4 x 7.5

• 5 x 6

• 2 x 15

• 3 x 10

Which numbers are identified as common factors of 30 and 42 in the step-by-step example?

• 3 and 7

• 2 and 3

• 5 and 7

• 2 and 5

What is the greatest common factor of 30 and 42 in the step-by-step example?

• 9

• 6

• 12

• 3

Why is it important to circle the common factors in the process?

• To subtract them later

• To identify them easily for multiplication

• To add them later

• To divide them later