Algebra GCF of Monomials and Prime Factorization

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

• x

• 12

• 3

• 9

Factor using GCF or monomial factoring:

2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

What is the GCF of the terms below?

24x³ + 36x²

• 8x

• 6x²

• 12x²

• 4x

• 12x³

Factor using GCF or monomial factoring:

w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)

Find the GCF of the terms of each polynomial.

72y⁵ + 18y²

• y²

• 4y⁵

• 18y

• 18y²

What is the greatest common factor of the monomials

a²b⁵ and a³b³

• a²b³

• a²b⁵

• a³b³

• a³b⁵

Factor by GCF:
6m² + 16m

• 2(3m² + 8m)
• 2m(3m + 8)
• 2m(3m - 8m)
• not factorable

What is the greatest common factor of 30x and 56x²

• 4x

• 6x

• 2x

• x

What is the greatest common factor of the following?

10a⁴ , 16a , 10a²

• 2a

• 2a²

• 10a

• 10a²