Finding the GCF of Monomials: Key Concepts and Examples

This video tutorial explains how to find the greatest common factor (GCF) of monomials. It begins with an introduction to the concept and the importance of prime factorization. The video covers both elementary and advanced methods for finding the GCF, including examples of each. It also demonstrates how to find the GCF for two and three monomials, emphasizing the importance of recognizing common factors early in the process. The tutorial provides step-by-step instructions and examples to help learners understand and apply the techniques effectively.

What is the first step in finding the GCF of monomials?

• Multiply the monomials

• Identify the variables

• Factor the whole number completely using prime factorization

• Add the coefficients

Why is it important to factor numbers all the way down?

• To make the numbers smaller

• To compare several monomials accurately

• To find the least common multiple

• To simplify the equation

What should you do if you recognize a common factor early?

• Continue factoring all the way down

• Stop factoring and use the common factor

• Multiply the factors

• Divide the factors

In the elementary method, what is the greatest common factor of 18 and 24?

• 12

• 6

• 9

• 3

What is the GCF of 18x^2 and 24xy using the advanced method?

• 6x

• 2x

• 12x

• 3x

What is the GCF of 15a^3b^2 and 20a^2b^4?

• 15a^2b^2

• 10a^3b^4

• 20a^3b^4

• 5a^2b^2

What is a common factor of 400 and 150?

• 10

• 20

• 50

• 100

What is the GCF of 400x^7 and 150x^10?

• 300x^10

• 200x^7

• 100x^10

• 50x^7

What is the GCF of 12b^2, 18p^3q, and 20dq?

• 2q

• 2p

• 2p^2

• 2

Which of the following is NOT a step in finding the GCF of three monomials?

• List all factors

• Circle common factors

• Multiply common factors

• Add the coefficients