Algebra GCF of Monomials and Prime Factorization

Find the GCF of 9u⁴v²w and 5u⁴vw³

• u⁴vw

• 5u⁴vw

• 45u⁴vw

• 45u⁴v²w³

Find the GCF of 3xy and 15x³y³

• 15x³y³

• 3x³y³

• 45x³y³

• 3xy

What is the greatest common factor of 18xy³ and 25x³y²?

• xy²

• x³y²

• 1

• x²y³

What is the GCF of the terms below?

• 8x

• 6x²

• 12x²

• 4x

• 12x³

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Which is the greatest common factor of 12x and 27?

• x

• 12

• 3

• 9

Select the correct prime factorization for 36.

• 1 x 36

• 2 x 3³

• 3 x 2 x 6

• 4 x 3 x 3

• 2² x 3²

Factor the monomial completely: 12x³

• 2 * 6 * x * x * x

• 3 * 4 * x * x * x

• 2 * 2 * 3 * x * x * x

• 2² * 3 * x³

Select the correct prime factorization for 68.

• 2 x 34

• 4 x 17

• 2² x 17

• 2 x 2 x 34

Factor the monomial completely: -7x²y³

• -7(x)(x)(y)(y)(y)

• -1(7)(x)(x)(y)(y)(y)

• 7(x)(x)(y)(y)(y)

• -(7)(x²)(y³)