GCF of Algebraic Expression

Factor the expression using the GCF:
24k + 32

• 8(3k + 4)

• 2(12k + 16)

• 24k + 32

• 8(3k + 5)

Using the GCF, what is the factored form of 18f - 45

• 3(6f - 15)

• 9(2f - 5)

• 6(3f - 5)

• 18(f - 3.5)

4x³y⁴ is the GCF of 24x⁶y⁴ and what term?

• 36x⁴y⁷

• 17xy⁷

• 20x³y⁴

• 6x⁴y³

Consider the expression -4b + 8c + 12. Part A: Factor the expression using the GCF by dragging and dropping the numbers to the correct locations. ​ (a)   (​ (b)   b + ​ (c)   c + ​ (d)   ) Part B: What is the value of the expression when b = 2 and c =1? ​ (e)  

• 4

• -1

• 2

• 3

• 12

• -4

• 20

• -3

Answer explanation

The expression -4b + 8c + 12 can be factored as 4(-b + 2c + 3). When b = 2 and c = 1, the expression evaluates to 4(-2 + 2 + 3) = 4(3) = 12. Therefore, the correct answer is 12.

Consider the expression -4b + 8c + 12.

Part A: Factor the expression using the GCF by dragging and dropping the numbers to the correct locations.

​ (a)   (​ (b)   b + ​ (c)   c + ​ (d)   )

Part B: What is the value of the expression when b = 2 and c =1?

​ (e)  

• 4

• -1

• 2

• 3

• 12

• -4

• 20

• -3

Answer explanation

The expression -4b + 8c + 12 can be factored as 4(-b + 2c + 3). When b = 2 and c = 1, the expression evaluates to 4(-2 + 2 + 3) = 4(3) = 12. Therefore, the correct answer is 12.

What is the GCF of 10a²b³ and 20a²b²?

• 20a²b³

• 10a²b³

• 20ab²

• 10a²b²

GCF of 11ab + 32ab

• 11

• 11ab

• ab

• 2a

What is the greatest common factor of 20a²b² and 50b³?

• 100a²b²

• 10b³

• 10ab²

• 10b²

What is the greatest common factor of 48x²and 32x³?

• 8x²

• 16x²

• 16x

• 96x³

What is the GCF of the following expression?

3x - 21 xy + 15