Finding GCF of Algebraic Terms

Find the GCF of 56ab and 46b, given that a and b are positive, whole numbers.

• 2b

• 28b

• 23b

• 2

Is the largest number that divides evenly into each number in a given set of numbers.

TRUE or FALSE: The GCF of monomials is the product of their common prime factors.

• TRUE

• FALSE

Find the GCF of the terms of each polynomial.

• 4b

• b

• 5b

• b²

What is the GCF? 5x²+20x

• 5

• x

• 5x

• 20x

Find the GCF of the terms of each polynomial.

• y²

• 4y⁵

• 18y

• 18y²

Factor by GCF:
4b⁵ + 4b³ + 16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Factor the following polynomials by finding a GCF.

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c