Factoring Out the Greatest Common Factor Worksheet with Answer Key

What's on the worksheet

1. Find the greatest common factor of the terms.
   14n and 3512ab and 18b^221p^2q, 14pq and 7p15a^2b^3, 21ab^2 and 9a^3b
2. Factor out the greatest common factor and check by distributing.
   9t + 1220 - 15r7g^2 + 7g16b^2c - 40bc3x^3 + 12x^2 - 6x
3. Factor out a negative common factor.
   -8d - 20-18y^2 + 27y-a^2 - 6a-9k^3 + 6k^2 - 3k
4. Factor so the parentheses have whole number coefficients with no common factor.
   2x + \dfrac{1}{3}\dfrac{1}{2}z + \dfrac{2}{3}0.6p + 0.9\dfrac{1}{2}a - \dfrac{3}{4}b + \dfrac{1}{8}
5. Word problem: factor an octagonal table top's perimeter to find a side length.
6. Factor an expression and use it to find a value from a given sum.
7. Write an expression as a whole number times parentheses in every possible way.