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Factor out the greatest common factor

Year 7 maths · Fieldbook Learning

Name ______________________ Date __________

Find the largest number that divides both terms, then write it outside parentheses.

  1. Factor out the greatest common factor: 2x − 2. Write it as g(ax + b).
  2. Factor out the greatest common factor: 5x − 15. Write it as g(ax + b).
  3. Factor out the greatest common factor: 15x − 25. Write it as g(ax + b).
  4. Factor out the greatest common factor: 15x − 6. Write it as g(ax + b).
  5. Factor out the greatest common factor: 63x + 35. Write it as g(ax + b).
  6. Factor out the greatest common factor: 42x + 6. Write it as g(ax + b).
  7. Factor out the greatest common factor: 49x + 28. Write it as g(ax + b).
  8. Factor out the greatest common factor: 3x + 27. Write it as g(ax + b).
  9. Factor out the greatest common factor: 4x − 32. Write it as g(ax + b).
  10. Factor out the greatest common factor: 63x − 70. Write it as g(ax + b).
  11. Factor out the greatest common factor: 36x − 48. Write it as g(ax + b).
  12. Factor out the greatest common factor: 45x + 5. Write it as g(ax + b).
  13. Factor out the greatest common factor: 90x − 48. Write it as g(ax + b).
  14. Factor out the greatest common factor: 35x − 56. Write it as g(ax + b).
  15. Factor out the greatest common factor: 70x − 60. Write it as g(ax + b).
  16. Factor out the greatest common factor: 64x + 120. Write it as g(ax + b).
  17. Factor out the greatest common factor: 96x − 42. Write it as g(ax + b).
  18. Factor out the greatest common factor: 30x − 14. Write it as g(ax + b).
  19. Factor out the greatest common factor: 216x − 60. Write it as g(ax + b).
  20. Factor out the greatest common factor: 143x + 208. Write it as g(ax + b).
More free practice: fieldbooklearning.com/au/practice/year-7/factor-out-the-greatest-common-factor/

Answer key: Factor out the greatest common factor

  1. 2(x - 1)
  2. 5(x - 3)
  3. 5(3x - 5)
  4. 3(5x - 2)
  5. 7(9x + 5)
  6. 6(7x + 1)
  7. 7(7x + 4)
  8. 3(x + 9)
  9. 4(x - 8)
  10. 7(9x - 10)
  11. 12(3x - 4)
  12. 5(9x + 1)
  13. 6(15x - 8)
  14. 7(5x - 8)
  15. 10(7x - 6)
  16. 8(8x + 15)
  17. 6(16x - 7)
  18. 2(15x - 7)
  19. 12(18x - 5)
  20. 13(11x + 16)