Worksheet 1: Factoring by GCF
Math Tech III
Name: ______________________________
Date: ______________ Period: __________
Ex. (28a2b4, 28a2b3, 56a5b7)
Part 1: Find the greatest common factor for each set.
28a2b3
1. (18, 45)
____________
11. (4y, 8)
____________
2. (39, 65)
____________
12. (25x, 35xy)
____________
3. (20, 21)
____________
13. (15y3, 35y5)
____________
4. (24, 72)
____________
14. (12x2, 48x)
____________
5. (14, 42, 70)
____________
15. (120x3y, 45xy3)
____________
6. (10, 20, 28)
____________
16. (5c2, 15c4)
____________
7. (6, 32, 80)
____________
17. (6x, 9x2, 12x3)
____________
8. (7, 35, 63)
____________
18. (4a2b, 16ab, 20b) ____________
9. (27, 105)
____________
19. (1s3t6, 38s3t2, 87s3t5) ____________
10. (35, 44)
____________
20. (4c3d4e, 28c3d2e, 70c2d5e3) ____________
Part 2: Factor completely using GCF.
GCF ( “leftover part”)
Ex. 9n3 – 12n2 – 30n = 3n (3n2 – 4n – 10)
1) 2x2 – 10x
9) 14u2 + 35u4
2) 5x – 20x2
10) 23x5 – 46x2
3) x2y – 3x2
11) y3 – 3y2 + 19y4
4) ab2 + 4b2
12) x4 – 3x3 + 17x2
5) x2z + y2z2
13) 3x3 + 3x2 + 6x
6) c4d2 + c2d3
14) 5a4 – 15a2 + 25a
7) 8x – 16y
15) 6x3 + 3x2y + 3xy
8) 15a + 26c
16) x4 + 3x3y2 + 12x2y3