GCF & LCM Review

Factors

100

List all of the factors of 32.

1, 2, 4, 8, 16, and 32

200

List all of the common factors of 12 and 20.

1, 2, and 4

300

List all of the factors of 42.

1, 2, 3, 6, 7, 14, 21, 42

400

List all of the factors of 52.

1, 2, 4, 13, 26, and 52

500

List all of the common factors of 24 and 36.

1, 2, 3, 4, 6, 12

Factor GCF

100

Factor out the GCF. 

7x+14

7(x+2)

200

Factor out the GCF. 

5x²-15x

5x(x-3)

300

Factor out the GCF. 

27x - 9

9(3x-1)

400

Factor out GCF. 

x²yz + x³y²z

x²yz(1+xy)

500

Factor out the GCF. 

10x³y²+25x⁵y⁴

5x³y²(2+5x²y²)

Greatest Common Factor

100

What is the greatest common factor of 12 and 15

3

200

What is the greatest common factor of 24 and 20?

4

300

What is the greatest factor of 16 and 36?

4

400

What is the great common factor of 50, 35, and 15?

5

500

What is the greatest common factor of 64 and 80?

16

FOIL

100

(x+2)(x+2)

x²+4x+4

200

(x+3)(x-3)

x²-9

300

(3x+2)(2x-4)

6x²-8x-8

400

(x-3)²

(x-3)(x-3) = x²-6x+9

500

(10x-7)(6x+3)

60x²-12x-21

Distributive Property

100

4(x+2)

4x+8

200

5x(3x-6)

15x²-30x

300

-7x²(3x-4)

-21x²+28x²=7x²

400

-(x²+3x-4)

-x²-3x+4

500

-4x³(2x²-9x+6)

-8x⁵+36x⁴-24x³