6.1 GCF and Factoring by Grouping

Identify the greatest common factor (GCF) of 24 and 36.

• 30

• 12

• 6

• 18

Find the GCF of 45 and 75.

• 25

• 10

• 15

• 20

Determine the GCF of 60 and 90.

• 20

• 45

• 30

• 10

What is the GCF of 28 and 42?

• 14

• 20

• 35

• 10

Factor the expression 3x + 6y + 5x + 10y by grouping. Combine like terms

• 9x + 15y

• 8x + 16y

Factor the expression 4a - 8b + 3a - 6b by grouping (combine like terms).

• 2a - 4b

• 5a - 10b

• 7a - 14b

• 11a - 20b

Factor the expression 6m + 9n + 4m + 6n by grouping.

• (3m + 3n)(2m + 2n)

• (6m + 9n)(4m + 6n)

• (2m + 3n)(4m + 6n)

• (2m + 3n)(3 + 2)

• (2x + 4)(x + 3y)

• (2x + 3)(x + 2y)

• (2x + 3)(x + 6y)

• 5a(a - 2b) + 3(a - 2b)

• 5a(a + 2b) + 3(a - 2b)