GCF Factoring

To find the GCF between two or

more terms:1)Factor Tree2)List all factors3)Find the largest # and variable that goes into all terms

Find the GCF between the two number

15, 30, 4518, 33, 36X8, x7, x3

4x, 8x4, 16x3

3xy3, 9x2y2, 18x3y

153x3

4x3xy

To factor out the GCF:

1) Find the GCF2) Write it on the outside of parentheses3) Consider what you multiply the GCF by to get each term

Factor out the GCF

x3 + x2 + x4x3 + 2x2 + 2x15a + 12b + 6c8x2 - 18y2

x2y + 2y15x2- 50x - 10

x( )2x( )3( )2( )y( )5( )

x(x2 + x + 1)2x(2x2 + x + 1)

3(5a + 4b + 2c)2(4x2 – 9y2)y(x2 + 2)5(3x2 – 10x – 2)

Factor out the GCF

64c3 – 56c2 + 88c

18k + 36k2 + 9k3

33q3 + 33q2r + 33qr2

a3b2 + a3b4 + ab4

8c(8c2 – 7c + 11)

9k(2 + 4k + k2)

33q(q2 + qr + r2)

ab2(a2 + a2b2 + b2)

8c( )

9k( )

33q( )

ab2( )