Factor Using GCF and Sum Product

The largest number that is in common for two or more numbers.

• LCM

• GCF

• Prime

• Composite

A whole number that divides a whole number without a remainder. One of the two whole numbers that multiply together to form a product.

• multiples

• sum

• factor

• prime

Which expression uses the greatest common factor and distributive property to express
54 + 90?

• 9 ( 6 + 10 )

• 9 ( 6 + 90 )

• 30 ( 24 + 60 )

• 18 ( 3 + 5 )

Rewrite using distributive property and GCF.
16 + 24

• 2(8+12)

• 3(5+8)

• 4(4+6)

• 8(2+3)

Factor completely:

3x² + 18x +15

Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Cannot be factored

What is the GCF? 5x²+20x

• 5

• x

• 5x

• 20x

Rewrite using distributive property and GCF.  
24 + 30

• 6(4+5)

• 8(3+4)

• 6(4) + 6(2)

• 6x2+5

Rewrite the sum of the numbers as the product of their GCF and another sum. 36 + 45 = ?

• 6(6 + 9)

• 3(12+15)

• 9(4 + 5)

Which expression is equivalent to 36 + 42 ? 
Using the Greatest Common Factor (GCF)?

• 2(18 + 21)

• 3(12 + 14)

• 6(6 + 42)

• 6(6 + 7) 

Using distributive property and GCF find an equivalent expression for: 24 + 30

• 6(4+5)

• 8(3+4)

• 6(4) + 6(2)

• 6x2+5