Polynomial Factoring by GCF

EASY GCF (BASIC NUMBERS)

100

What is the greatest common factor of 4 and 8?

4

200

What is the greatest common factor of 12 and 18?

6

300

 What is the greatest common factor of 15 and 25?

5

400

 What is the greatest common factor of 24 and 36?

12

500

What is the greatest common factor of 16, 24, and 40?

8

CATEGORY 2: VARIABLES & EXPONENTS

100

What is the greatest common factor of x³ and x⁵?

x³

200

 What is the greatest common factor of a⁴b² and a² b⁵?

a²b²

300

What is the greatest common factor of m⁶n³ and m3n?

m³n 

400

What is the greatest common factor of x²y⁴z and x⁵ y²?

 x²y²

500

What is the greatest common factor of p4 q³ r2, p² q⁵, and p³q²r⁴?

p²q²

CATEGORY 3: COEFFICIENTS & VARIABLES

100

What is the greatest common factor of 6x and 9x²

3x

200

What is the greatest common factor of 10a^3 and 15a²?

5a²

300

What is the greatest common factor of 14x²y and 21xy²?

7xy

400

What is the greatest common factor of 20m⁴n2 and 30m² n³?

10m² n²

500

What is the greatest common factor of 12a³ b², 18a² b⁴, and 24a⁴ b³?

6a²b²

CATEGORY 4: FACTORING POLYNOMIALS BY GCF

100

 Factor out the GCF: 5x + 10

5(x + 2)

200

Factor out the GCF: 6x² - 9x

3x(2x - 3)

300

 Factor out the GCF: 12a³ + 8a²

4a²(3a + 2)

400

Factor out the GCF: 15x³ y² - 25x² y³

5x² y²(3x - 5y)

500

Factor out the GCF: 14m⁴n² + 21m³n³ - 7m²n

7m²n(2m²n + 3mn² - 1)