Prime Factorization and GCF Concepts

The video tutorial explains how to find the greatest common factor (GCF) of three numbers using factor trees and a chart. It begins with an introduction to the concept of GCF, followed by a demonstration of using factor trees to identify prime factors. The prime factors of the numbers 12, 36, and 75 are listed, and a chart is used to determine the GCF by identifying common prime factors across the numbers.

What is the purpose of finding the greatest common factor?

• To find the largest number that divides two or more numbers.

• To find the smallest number that divides two or more numbers.

• To find the sum of two or more numbers.

• To find the product of two or more numbers.

Which of the following is a prime factor of 12?

• 4

• 6

• 3

• 5

How many times does the number 2 appear in the prime factorization of 36?

• Once

• Twice

• Three times

• Not at all

What is the prime factorization of 75?

• 3 and 5

• 3 and 15

• 3 and 25

• 5 and 15

What is the greatest common factor of 12, 36, and 75?

• 6

• 1

• 3

• 2