Finding the GCF of Monomials

The video tutorial covers the concept of the greatest common factor (GCF) with a focus on monomials. It begins with an introduction to the topic and the learning target, followed by an explanation of key vocabulary terms. The tutorial then provides four examples, each demonstrating how to find the GCF of different sets of monomials, with detailed steps and explanations. The examples include both numerical and variable components, helping students understand how to identify common factors in various scenarios.

What does the term 'greatest' refer to in the context of the Greatest Common Factor?

• The most frequent number

• The average number

• The largest number

• The smallest number

Which of the following is an example of a monomial?

• 3x + 2

• 4x + y

• x - 5

• 2x^2

What is the first step in finding the GCF of 12x^2 and 16x^3?

• Subtract the smaller number from the larger number

• Multiply the numbers

• List the factors of 12 and 16

• Divide both numbers by 2

Which of the following is a factor pair of 16?

• 4 and 7

• 3 and 5

• 2 and 8

• 1 and 15

What is the GCF of the numbers 12 and 16?

• 6

• 4

• 3

• 2

What is the GCF of 3x^2 and 18x?

• 3

• 3x

• 6

• 9

What is the GCF of x^5y and x^3y^4?

• x^4y^2

• x^2y^3

• x^5y^4

• x^3y

In the example of 24x^2 and 30, what is the GCF of the numbers?

• 8

• 6

• 5

• 4

Why does the GCF of 24x^2 and 30 not include any variables?

• Because the variables cancel out

• Because 24x^2 has no variables

• Because 30 has no variables

• Because both numbers are prime

What should you do after finishing your notes on the GCF of monomials?

• Ask the teacher for help

• Try the practice problems

• Take a break

• Review the video again