Factors and Greatest Common Factors

What are the factors of 25? List them down in ascending order, separated by a comma.

What are the common factors of 12 and 42? List down your answers in ascending order, separated by a comma.

Which of the following shows the complete list of the common factors of 16 and 24x²?

• 1, 2, 4, 8, x

• 1, 2, 4, 8

• 1, 2, 4, 8, 12, x

• 1, 2, 4, 8, x, 2x, 4x, 8x

What is the greatest common factor of 28, 42, and 56?

What is the greatest common factor of the monomials ab² and ab?

• ab

• a²b3

• 1

• ab⁵

Find the GCF of the following expressions:

120x³, 40w², and 8z²

Which of the following pairs of polynomials has 13xy² as its GCF?

• 65x⁴y⁵z and 130xy²

• 13x²y² and 13x²y²

• 13xy and 26x¹²y³z

• 65x³y⁴ and 26xy²

Differentiate Greatest Common Factor (GCF) from Least Common Multiple (LCM).

Which of the following describes the Greatest Common Factor of a polynomial?

• the smallest constants and variables

• the largest constants and variables

• the largest combination of constants and variables by which the polynomial can be divided

• the smallest combination of constants and variables that can be divided by the polynomial