Finding the Greatest Common Factor

This video tutorial covers the concept of the Greatest Common Factor (GCF), also known as the greatest common divisor. It begins with an introduction to the GCF, followed by examples demonstrating how to find the GCF of numbers using factor trees and tables. The tutorial also explains the official procedure for finding the GCF and extends the concept to include variables, showing how to determine the GCF in algebraic expressions. The video provides multiple examples to ensure a clear understanding of the topic.

What does GCF stand for in algebra?

• Greatest Common Factor

• Greatest Common Fraction

• Greatest Common Formula

• Greatest Common Function

Which of the following is the largest number that divides both 12 and 18 without a remainder?

• 9

• 6

• 3

• 2

What is the first step in finding the GCF of a set of numbers?

• Add the numbers together

• Multiply the numbers

• Factor each number completely

• Divide the numbers by 2

In the example with numbers 20, 45, and 60, what is the GCF?

• 10

• 5

• 20

• 15

When using a table to find the GCF, what is the purpose of marking out factors?

• To identify common factors

• To eliminate non-prime numbers

• To highlight the largest factor

• To simplify the table

What is the GCF of 120, 168, and 216?

• 12

• 18

• 30

• 24

How do you determine the variable part of the GCF when variables are involved?

• Use the largest exponent

• Ignore the variables

• Use the smallest exponent

• Add the exponents together

What is the GCF of 5x², 25x³, and 30x⁵?

• 5x

• 5x²

• 5x³

• 5x⁴

In the example with 30xy³z, 24x⁴y³z, 36xy³z², and 54xy³z⁵, what is the GCF?

• 6xy³z

• 6x⁴y³z

• 6x²y³z

• 6xy³z²