Greatest Common Factor and Prime Factorization

This video tutorial explains how to find the greatest common factor (GCF) of two numbers using prime factorization. It begins with a definition of GCF and factors, followed by a detailed example of breaking down the number 12 into its prime factors. The video then demonstrates finding the GCF of 50 and 20, and provides practice problems for finding the GCF of 12 and 40, and 32 and 28. The tutorial concludes with a call to action to engage with more math content.

What is the main topic of the video?

• Finding the least common multiple

• Understanding prime numbers

• Finding the greatest common factor

• Solving quadratic equations

What is the greatest common factor?

• The smallest number that divides two numbers

• The largest number that divides two numbers

• The sum of two numbers

• The product of two numbers

What are factors?

• Numbers that can be divided to make another number

• Numbers that can be multiplied to make another number

• Numbers that can be subtracted to make another number

• Numbers that can be added to make another number

What is the prime factorization of 12?

• 2 x 3 x 3

• 3 x 3 x 2

• 2 x 2 x 2

• 2 x 2 x 3

Why is 2 chosen as the first prime factor of 12?

• Because 12 is an odd number

• Because 2 is the smallest prime number

• Because 12 is an even number

• Because 2 is a factor of all numbers

What is the GCF of 50 and 20?

• 10

• 20

• 5

• 15

Which method is used to find the GCF of 50 and 20?

• Factor tree method

• Subtraction method

• Division method

• Multiplication method

What is the prime factorization of 50?

• 2 x 5 x 5

• 2 x 3 x 5

• 5 x 5 x 5

• 2 x 2 x 5

What is the prime factorization of 20?

• 3 x 3 x 5

• 2 x 5 x 5

• 2 x 3 x 5

• 2 x 2 x 5

What is the GCF of 12 and 40?

• 8

• 2

• 4

• 6