GCF (Numbers)
Greatest Common Factor of 6 and 18
GCF: 6
Distribute and simplify (if possible):
3(x-8)
3x-24
Find the GCF:
3 and 12x
3
Factor by GCF:
14n+10
2(7n+5)
Factor completely:
6x^2+12x+15
3(2x^2+4x+5)
Solve for x :
3x-1=5
x=2
The Greatest Common Factor of 8 and 24
GCF: 8
Distribute and simplify (if possible):
-4x(3x+2)
-12x^2-8x
Find the GCF:
4x^2, -20x
4
Factor by GCF:
18x-6
6(3x-1)
Factor completely:
-18x^2-6x-54
-6(3x^2+x+9)
Simplify (do not evaluate):
2^5\cdot2^9
2^14
The Greatest Common Factor of 90 and 6
GCF: 6
Distribute and simplify (if possible):
2x^2(6x^2+5x+1)
12x^4+10x^3+2x^2
Find the GCF: 2x and
9x
x
(Constants are prime)
Factor by GCF:
8a-4a^2
4a(2-a)
Factor completely:
7x^3-14x+35
7x(x^2-2x+5)
Solve for y :
3-\frac{y}{10}=15
y=-120
The Greatest Common Factor of 80 and 16
GCF: 16
Distribute and simplify (if possible):
(2x+7)(5x-8)
10x^2+19x-56
Find the GCF: 18x^4 and
27x^3
9x^3
Factor using the GCF 5x2-15x
15x^3+5x^2+40x
5x(3x^2+x+8)
Factor completely:
-16x^3-56x^2-8x
-8x(2x^2+7x+1)
Simplify the radical completely:
5x\sqrt{28x^5
10x^3\sqrt{7x}
The Greatest Common Factor of 55 and 110
GCF: 55
Distribute and simplify (if possible):
(2x-1)(x^2-5x+3)
2x^3-11x^2+11x-3
Find the GCF: 12xy , 6x^2y^2 , and 24y
6y
Factor using the GCF:
15x(2x-1)+3(2x-1)
(2x-1)(15x+3)
6x^20-30x^17+48x^15
6x^15(x^5-5x^2+8)
Solve the following for m:
\frac{28}{m}+1=8
m=4