GCF (Numbers)
Greatest Common Factor of 6 and 18
GCF: 6
Simplify.
5x +3x + 2y
8x + 2y
Find the GCF: 3x, 12
3
Factor by GCF: 14n+10
2(7n+5)
Expand using the distributive property:
2(3x + 4)
6x + 8
The Greatest Common Factor of 8 and 24
GCF: 8
Simplify.
7mp - 4m + 11mp
18mp - 4m
Find the GCF: 4x and -20
4
Factor by GCF: 18x-6
6(3x-1)
Expand using the distributive property:
5 (6x + 8xy+ 9xyz)
30x + 40xy + 45xyz
The Greatest Common Factor of 90 and 6
GCF: 6
Simplify.
6a + 5b + 2(8a + 9b)
22a + 23b
Find the GCF: 2x and 9x
x
(Constants are prime) tricky!
Factor by GCF: 8a-4ab
4a(2 - b)
7x(3b + 6a + 7nz)
21bx + 42ax + 49nxz
The Greatest Common Factor of 80 and 16
GCF: 16
Simplify.
4ab + 3a - 9ab - 6a + 7b
- 5ab - 3a + 7b
Find the GCF: 18x, 27x, 63xy
9x
Factor using the GCF:
5xy - 15x + 30xyz
5x(y - 3 + 6yz)
- 4a(5m + 9k)
-20am - 36ak
The Greatest Common Factor of 55 and 110
GCF: 55
Simplify.
3a + 4b - 6(5ab + 7a - 2b)
-30ab - 39a + 6b
Find the GCF: 12y, 6ayz, 24ay, 42yz
6y
Factor using the GCF -22x - 55y - 121
-11 (2x + 5y + 11)
-12t(4a - 7p + 5xy)
-48at + 84tp - 60txy