Free Printable Unit 6, Indicator 24, Greatest Common Factor

1.

What is the Greatest Common Factor of 12 and 48?

a)

6

b)

12

c)

4

d)

16

2.

What is the Greatest Common Factor of 35 and 42?

a)

5

b)

14

c)

7

d)

3

3.

What are the factors of 25?

a)

1, 2, 3, 5, 10, 15, 25

b)

1, 5, 25

c)

1, 25

d)

1, 5

4.

What is the GCF of 8 and 24?

a)

1

b)

24

c)

8

d)

4

5.

GCF 15 and 36

a)

8

b)

6

c)

3

d)

4

6.

Give the GCF of 10 and 15

a)

2

b)

5

c)

10

d)

15

7.

Give the GCF of $18xy$ and $36y^2$

a)

$6x$

b)

$6y$

c)

$18x$

d)

$18y$

8.

$Give\ the\ GCF\ of\ 5a^2b,\ 15a^2b^2c,\ and\ 20abc^3$

a)

$5a^2b$

b)

$5ab$

c)

$5a^2b^2$

d)

$5abc$

9.

$Give\ the\ GCF\ of\ ax,\ \ 2ax^2\ and\ -4ax^3$

a)

$ax$

b)

$2ax$

c)

$2ax^2$

d)

$ax^3$

10.

$Give\ the\ GCF\ of\ \ 9a^2b^3c\ \ and\ \ \ 18a^2b^2c^2$

a)

$18a^2b^2c$

b)

$9a^2b^3c$

c)

$9a^2b^2c$

d)

$18a^2b^2c$

11.

$Give\ the\ GCF\ of\ 40c^{2\ }\ and\ 60cd^2$

a)

$40c^2d$

b)

$40cd^2$

c)

$20c$

d)

$20cd^2$

12.

$Give\ the\ GCF\ of\ \ 2ab,\ 8bc,\ \ and\ \ 4ac$

a)

$2$

b)

$2ac$

c)

$2bc$

d)

$2abc$

13.

What is the GCF of the terms below?

24x³ + 36x²

a)

8x

b)

6x²

c)

12x²

d)

4x

e)

12x³

14.

Find the GCF of the terms of each polynomial.

72y⁵ + 18y²

a)

y²

b)

4y⁵

c)

18y

d)

18y²

15.

What is the greatest common factor of 20a²b² and 50b³?

a)

100a²b²

b)

10b³

c)

10ab²

d)

10b²

16.

Factor using GCF or monomial factoring:

w³ + 3w

a)

3w(1)

b)

w(w² + 3)

c)

w³(w + 3)

17.

Factor using GCF or monomial factoring:

x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

18.

Factor using GCF or monomial factoring:

2x + 18

a)

2(x + 9)

b)

2(x + 8)

c)

2(2x + 9)

d)

cannot be factored

19.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

20.

Factor using GCF or monomial factoring:

2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n)

c)

2n³(10-8n²)

d)

3n(1-4n)

21.

Give the GCF of $54x^3y^3,\ 9xy^4,\ and\ \ 81x^2y^6$

a)

$9xy^3$

b)

$9x^2y^3$

c)

$9x^3y^6$

d)

$9xy^4$

22.

Factor using GCF or monomial factoring:

2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n)

c)

2n³(10-8n²)

d)

3n(1-4n)

23.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

24.

Factor using GCF or monomial factoring:

w³ + 3w

a)

3w(1)

b)

w(w² + 3)

c)

w³(w + 3)

25.

Factor by GCF:
6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

26.

Factor:
80x⁵-70x²-60x⁷

a)

2x²(80x³-70-60x⁶)

b)

10x²(80x⁴-70x-60x⁶)

c)

10x²(8x³-7-6x⁵)

d)

3x²(80x³-40-60x⁵)

27.

Factor
4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

28.

Factor using GCF or monomial factoring:

2x + 18

a)

2(x + 9)

b)

2(x + 8)

c)

2(2x + 9)

d)

cannot be factored

29.

Factor using GCF or monomial factoring:

x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

30.

Factor using GCF or monomial factoring:

w³ + 3w

a)

3w(1)

b)

w(w² + 3)

c)

w³(w + 3)

31.

What is the GCF of the terms below?

24x³ + 36x²

a)

8x

b)

6x²

c)

12x²

d)

4x

e)

12x³

32.

Find the GCF of the terms of each polynomial.

72y⁵ + 18y²

a)

y²

b)

4y⁵

c)

18y

d)

18y²

33.

What is the greatest common factor of 20a²b² and 50b³?

a)

100a²b²

b)

10b³

c)

10ab²

d)

10b²

34.

What is the greatest common factor of $40x^5y^2$

and

32x^2y^3

?

a)

$8x^2y^2$

b)

$8x^7y^5$

c)

$1280x^2y^2$

d)

$1280x^7y^5$

35.

What is the greatest common factor of $20x^{76}$ and $8x^{92}$ ?

a)

$4x^{76}$

b)

$4x^{92}$

c)

$160x^{76}$

d)

$160x^{92}$

Unit 6, Indicator 24, Greatest Common Factor

Total questions: 35

Worksheet time: 2hrs 45mins

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