Worksheet

Greatest common factor of monomials, and pulling it out

Grade 9 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. Read this first

    Factor strips

    12x³y = 2 · 2 · 3 · x · x · x · y; 18x²y² = 2 · 3 · 3 · x · x · y · y.

  2. Ari lines up the factor strips for 12x³y and 18x²y², like two trains side by side. Type powers like x^2. What is their greatest common factor (GCF)?

  3. Factor strips

    10x⁴y² = 2 · 5 · x · x · x · x · y · y; 15x²y³ = 3 · 5 · x · x · y · y · y.

  4. Bo writes out the factor strips for 10x⁴y² and 15x²y³. Type powers like x^2. What is their greatest common factor (GCF)?

  5. Factor strips

    8xy³ = 2 · 2 · 2 · x · y · y · y; 20x²y² = 2 · 2 · 5 · x · x · y · y.

  6. Esme compares the factor strips for 8xy³ and 20x²y². Type powers like x^2. What is their greatest common factor (GCF)?

  7. Factor strips

    9x³y⁴ = 3 · 3 · x · x · x · y · y · y · y; 21x⁵y = 3 · 7 · x · x · x · x · x · y.

  8. Jun circles matching factors in the strips for 9x³y⁴ and 21x⁵y. Type powers like x^2. What is their greatest common factor (GCF)?

  9. Kira draws 14x³y + 21x²y² as two pieces that share the side 7x²y. Type powers like y^2. What is the other side of the 21x²y² piece?

  10. Noah draws 27x⁵y² + 45x³y⁴ as two pieces that share the side 9x³y². Type powers like y^2. What is the other side of the 45x³y⁴ piece?

  11. Pia needs the greatest common factor of 12x⁵, 18x⁴ and 30x² for a puzzle card. Which is it?

    • 6x²
    • 3x²
    • 6
    • 6x⁵

  12. Ren draws 16x⁵, 24x³ and 40x⁷ as three pieces with one shared side. Which is their greatest common factor?

    • 4x³
    • 8
    • 8x³
    • 8x⁷

  13. Tala checks a homework answer for the GCF of 18x⁶, 27x² and 45x⁴. Which is the GCF?

    • 9
    • 9x²
    • 3x²
    • 9x⁶

  14. Zee looks for the side shared by 20x³, 30x⁵ and 50x⁴. Which is their greatest common factor?

    • 10
    • 5x³
    • 10x³
    • 10x⁵
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Greatest common factor of monomials, and pulling it out

Answer Key - Grade 9 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

  1. Read this first

    Factor strips

    12x³y = 2 · 2 · 3 · x · x · x · y; 18x²y² = 2 · 3 · 3 · x · x · y · y.

  2. Ari lines up the factor strips for 12x³y and 18x²y², like two trains side by side. Type powers like x^2. What is their greatest common factor (GCF)?

    6x^2y

  3. Factor strips

    10x⁴y² = 2 · 5 · x · x · x · x · y · y; 15x²y³ = 3 · 5 · x · x · y · y · y.

  4. Bo writes out the factor strips for 10x⁴y² and 15x²y³. Type powers like x^2. What is their greatest common factor (GCF)?

    5x^2y^2

  5. Factor strips

    8xy³ = 2 · 2 · 2 · x · y · y · y; 20x²y² = 2 · 2 · 5 · x · x · y · y.

  6. Esme compares the factor strips for 8xy³ and 20x²y². Type powers like x^2. What is their greatest common factor (GCF)?

    4xy^2

  7. Factor strips

    9x³y⁴ = 3 · 3 · x · x · x · y · y · y · y; 21x⁵y = 3 · 7 · x · x · x · x · x · y.

  8. Jun circles matching factors in the strips for 9x³y⁴ and 21x⁵y. Type powers like x^2. What is their greatest common factor (GCF)?

    3x^3y

  9. Kira draws 14x³y + 21x²y² as two pieces that share the side 7x²y. Type powers like y^2. What is the other side of the 21x²y² piece?

    3y

  10. Noah draws 27x⁵y² + 45x³y⁴ as two pieces that share the side 9x³y². Type powers like y^2. What is the other side of the 45x³y⁴ piece?

    5y^2

  11. Pia needs the greatest common factor of 12x⁵, 18x⁴ and 30x² for a puzzle card. Which is it?

    • 6x²
    • 3x²
    • 6
    • 6x⁵

  12. Ren draws 16x⁵, 24x³ and 40x⁷ as three pieces with one shared side. Which is their greatest common factor?

    • 4x³
    • 8
    • 8x³
    • 8x⁷

  13. Tala checks a homework answer for the GCF of 18x⁶, 27x² and 45x⁴. Which is the GCF?

    • 9
    • 9x²
    • 3x²
    • 9x⁶

  14. Zee looks for the side shared by 20x³, 30x⁵ and 50x⁴. Which is their greatest common factor?

    • 10
    • 5x³
    • 10x³
    • 10x⁵