Finding the Greatest Common Factor

This video tutorial from Mumo Math and Science explains how to find the greatest common factor (GCF) of monomials, focusing on coefficients and variables. It begins with an introduction to the concept, followed by a step-by-step guide using a factor tree to find the GCF of coefficients. The tutorial then covers identifying common variables and their lowest exponents. Two example problems are worked through to demonstrate the process. The video concludes with a summary and a reminder to practice kindness.

What is the first step in finding the greatest common factor of monomials?

• Multiply the coefficients

• Find the lowest exponent of the variables

• Find the GCF of the coefficients

• Identify the common variables

Which method is used in the video to find the GCF of the coefficients 12 and 48?

• Listing multiples

• Division method

• Factor tree

• Prime factorization

What is the GCF of the coefficients 12 and 48?

• 6

• 24

• 12

• 18

After finding the GCF of coefficients, what is the next step?

• Divide the coefficients

• Add the coefficients

• Multiply the coefficients

• Identify common variables

In the example of 48a and 12a^3b, which variable is common?

• c

• d

• a

• b

What is the GCF of the coefficients 24 and 8 in the second example?

• 4

• 16

• 8

• 12

Which variable has the lowest exponent in the example 24x^3y^2 and 8x^5y?

• x

• y

• w

• z

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

• Divide the coefficients

• Subtract the coefficients

• Multiply the GCF of coefficients with the lowest exponent of common variables

• Add the coefficients

What is the GCF of the monomials 24x^3y^2 and 8x^5y?

• 24x^5y

• 24x^3y^2

• 8x^5y^2

• 8x^3y

What is the key takeaway message at the end of the video?

• Math is fun

• Always use a factor tree

• Kindness multiplies kindness

• Practice makes perfect