Exploring the Greatest Common Factor

The video reviews the concept of the greatest common factor (GCF) and introduces the addition of exponents to the process. It explains how to find the GCF of numbers and expressions with exponents through examples and practice problems. The video also covers the use of the distributive property in finding the GCF and addresses how to handle negative numbers in the process.

What is the greatest common factor (GCF) of 12 and 36?

• 12

• 18

• 24

• 6

When finding the GCF of 5x^2 and 100x^3, what is the GCF?

• 5x

• 5x^2

• 10x^2

• 10x^3

What is the GCF of 4x^2y and 32x^5y^2z?

• 4x^2y^2

• 4x^2y

• 8x^5y^2z

• 8x^2y

For the expression 20x^5 and 42x^5, what is the GCF?

• 8x^5

• 6x^5

• 2x^5

• 4x^5

What is the GCF of 13m^2 and 26m^3?

• 13m^2

• 26m^2

• 13m

• 26m

What is the GCF of 3x^2 and 15x?

• 3

• 3x

• 3x^2

• 15x

What is the GCF of 4x^3, 16x^2, and 20x?

• 4

• 4x^3

• 4x

• 4x^2

When factoring out the GCF from -20x^3, 100x^2, and 5, what should be taken out?

• 5

• -5

• 20

• -20

What is the GCF of 2n^2 and 4n^3?

• 4n

• 2n

• 2n^2

• 4n^2

What is the GCF of 8x^2y and 16xy^2?

• 8x^2y

• 16x^2y^2

• 8xy

• 16xy