Free Printable Find GCF and Factor Out GCF

1.

What is the gcf of 6 & 20

a)

6

b)

4

c)

2

d)

20

2.

GCF of 28 and 40

a)

2

b)

4

c)

7

d)

8

3.

What is the GCF of 10x⁴ and 14x⁷

a)

2x⁴

b)

2x⁷

c)

2x

d)

10x⁴

4.

What is the greatest common factor of the monomials a²b⁵ and a³b³

a)

a²b³

b)

a²b⁵

c)

a³b³

d)

a³b⁵

5.

What is the Greatest Common Factor of the following polynomial?
12t³ + 30t² + 48t

a)

12t

b)

6t³

c)

6t

d)

12t³

6.

What is the greatest factor of 28 and 49?

a)

1

b)

2

c)

7

d)

12

7.

Find the greatest common factor of
6x⁴y³- 12x⁴y²+ 6x³y²

a)

6

b)

6xy

c)

6x³y²

d)

6x⁹y⁶

8.

What is the GCF of 20 and 30?

a)

5

b)

2

c)

10

d)

20

9.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

10.

GCF of 10 and 50

a)

10

b)

2

c)

5

d)

50

11.

GCF of 5 and 35

a)

7

b)

5

c)

2

d)

35

12.

GCF of 8 and 20

a)

8

b)

2

c)

4

d)

10

13.

What is the GCF of 4 and 12?

a)

3

b)

1

c)

6

d)

4

14.

What is the GCF of 20 and 30?

a)

5

b)

2

c)

10

d)

20

15.

Which of the choices is not a factor of 24?

¿Cuál de las opciones no es un factor de 24?

a)

2

b)

3

c)

4

d)

5

16.

List all the factors of 12

a)

1, 2, 3, 4, 6, 12

b)

1, 2, 4, 12

c)

1, 12

d)

1, 2, 3, 4, 5, 6, 12

17.

Find the GCF of 12 and 6.

a)

1

b)

6

c)

2

d)

3

18.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

19.

Find the Greatest Common Factor (GCF) OF 12 & 30

a)

6

b)

60

c)

3

d)

10

20.

Find the Greatest Common Factor (GCF) of 60 and 75

a)

1

b)

3

c)

5

d)

15

21.

Find the GCF of 64 and 144

a)

8

b)

6

c)

16

d)

2

22.

GCF of 32 and 40

a)

2

b)

4

c)

6

d)

8

23.

Find the Greatest Common Factor (GCF) of 14 & 22.

a)

1

b)

2

c)

7

d)

14

24.

GCF of 24 and 48

a)

3

b)

6

c)

12

d)

24

25.

GCF of 50 and 100

a)

10

b)

25

c)

50

d)

5

26.

GCF of 27 and 70

a)

3

b)

5

c)

7

d)

10

27.

What is the GCF of 35, 49, 77?

a)

7

b)

11

c)

13

d)

14

28.

Find the GCF of

12m³ and 10m²

a)

2m

b)

4m²

c)

2m²

d)

2m³

29.

The GCF of 20x²y² + 40xy² is (a)

Choose from the below words

20xy²

10xy

5x²y

40xy²

10x²y

10xy²

20x²y²

20x²

30.

Find the GCF of

20ab + 8a - 2

(a)

31.

Which of the following has a GCF of

5x?

a)

10x + 10

b)

20x + 5

c)

5x³ + 5x²

d)

20x² + 5x

32.

Find the GCF of

a³b³c³ - a³b²c³

a)

a²b²c²

b)

a³b²c³

c)

a³b³c³

d)

abc

33.

What is the GCF of 100x³ + 100x²?

a)

100x

b)

100x³

c)

100x²

d)

100

34.

Factor:
10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

35.

Factor:

7x+49

a)

$7x\left(x+49\right)$

b)

$7\left(x+7\right)$

c)

$49\left(x+7\right)$

d)

$x\left(7+49\right)$

36.

Factor:
$5a^2-15$

a)

$5\left(a^2-15\right)$

b)

$5a\left(a-15\right)$

c)

$5\left(a^2-3\right)$

d)

$5a\left(a-3\right)$

37.

$12c^2-20a^2$

Factor:

a)

$2\left(6c^2-10a^2\right)$

b)

$4\left(3c^2-5a^2\right)$

c)

$2a^2c^2\left(6-10\right)$

d)

$4\left(ca\right)^2\left(3-5\right)$

38.

$64-40ab$

Factor:

a)

$4\left(16-10ab\right)$

b)

$4ab\left(16-10ab\right)$

c)

$8ab\left(8-5ab\right)$

d)

$8\left(8-5ab\right)$

39.

$36a^2+24a$

Factor:

a)

$12a\left(3a+2\right)$

b)

$a\left(36a+24\right)$

c)

$12\left(3a^2+2a\right)$

d)

$a^2\left(36+24a\right)$

40.

Factor:
$18x^4-12x^2$

a)

$6x^2\left(3x^2-2\right)$

b)

$x^2\left(18x^2-12\right)$

c)

$6\left(3x^2-2x^2\right)$

d)

$6x\left(2x^3-2x\right)$

41.

Factor:

12ab^3+20b

a)

$4ab\left(3b+5\right)$

b)

$b\left(12ab^2+20\right)$

c)

$4b\left(3ab^2+5\right)$

d)

$12b\left(ab^2+2\right)$

42.

$10x^2+5x$

a)

$5\left(2x^2+5\right)$

b)

$5x\left(2x+1\right)$

c)

$10x^2\left(1x+2x\right)$

d)

$5x^2\left(2x^2+1\right)$

43.

Factor:
$36ab^2-48a^2b$

a)

$a^2b^2\left(16a-38b\right)$

b)

$6ab\left(6b-8a\right)$

c)

$12ab\left(3a-4b\right)$

d)

$12ab\left(3b-4a\right)$

44.

Factor:
$15xy+30x^2y^2$

a)

$xy\left(15+30xy\right)$

b)

$15\left(xy+2x^2y^2\right)$

c)

$15xy\left(1+2xy\right)$

d)

$5xy\left(3+6xy\right)$

45.

Factor:
$a^2b^2+a$

a)

$a^2\left(b^2+1\right)$

b)

$ab\left(ab+1\right)$

c)

$a\left(ab^2+1\right)$

d)

$a\left(b^2+1\right)$

46.

Factor:
$8ab-56a$

a)

$8a\left(b-7\right)$

b)

$8\left(ab-7a\right)$

c)

$a\left(8b-56\right)$

d)

$8ab\left(1-7b\right)$

47.

Factor:
$81m+48mn$

a)

$3m\left(27+16n\right)$

b)

$m\left(81+48n\right)$

c)

$3\left(27+16n\right)$

d)

$mn\left(81+48n\right)$

48.

What is the GCF? 3x²-2x

a)

3

b)

3x

c)

x

d)

2

49.

Factor
4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

50.

Factor by using GCF:
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

51.

Factor:
2n²+16n+12

a)

2n(n²+24n+6)

b)

2(n²+8n+6)

c)

2n(n²+8n+6)

d)

3(n²+8n+6)

52.

3x³+ 9x²- 15x

a)

x(3x² + 9x - 15)

b)

3x(x² + 3x - 5)

c)

3x(x² - 9x + 15)

d)

x(3x² -9x + 15)

53.

Factor:
10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

54.

Factor:

7x+49

a)

$7x\left(x+49\right)$

b)

$7\left(x+7\right)$

c)

$49\left(x+7\right)$

d)

$x\left(7+49\right)$

55.

Factor:
$5a^2-15$

a)

$5\left(a^2-15\right)$

b)

$5a\left(a-15\right)$

c)

$5\left(a^2-3\right)$

d)

$5a\left(a-3\right)$

56.

$12c^2-20a^2$

Factor:

a)

$2\left(6c^2-10a^2\right)$

b)

$4\left(3c^2-5a^2\right)$

c)

$2a^2c^2\left(6-10\right)$

d)

$4\left(ca\right)^2\left(3-5\right)$

57.

$64-40ab$

Factor:

a)

$4\left(16-10ab\right)$

b)

$4ab\left(16-10ab\right)$

c)

$8ab\left(8-5ab\right)$

d)

$8\left(8-5ab\right)$

58.

$36a^2+24a$

Factor:

a)

$12a\left(3a+2\right)$

b)

$a\left(36a+24\right)$

c)

$12\left(3a^2+2a\right)$

d)

$a^2\left(36+24a\right)$

59.

Factor:
10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

60.

4x + 6

a)

4(x + 2)

b)

2(2x + 3)

c)

2(2x + 4)

d)

4(x + 2/3)

61.

Factor using GCF

12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

62.

What is the GCF?
15x + 27

a)

3

b)

5

c)

9

d)

2

63.

What is the GCF? 2x²-4x+8

a)

2x

b)

2

c)

x

d)

1

64.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

65.

Factor using GCF or monomial factoring:

2x + 18

a)

2(x + 9)

b)

2(x + 8)

c)

2(2x + 9)

d)

cannot be factored

66.

What is the GCF of the trinomial?
3x²- 9x -120

a)

3

b)

2

c)

6

d)

9

67.

What is the GCF of 18 and 45?

a)

3

b)

12

c)

9

d)

6

68.

The GCF of 24, 36, and 72 is.....

a)

12

b)

18

c)

36

d)

24

69.

The GCF of 25, 75, and 200 is.....

a)

10

b)

5

c)

50

d)

25

70.

Factor: 63+45p

a)

9(7+5p)

b)

5(9 +7p)

c)

9p(7 + 5p)

d)

7(9+ 5p)

71.

What is the GCF? 5x²+20x

a)

5

b)

x

c)

5x

d)

20x

72.

What is the GCF? 3x²-2x

a)

3

b)

3x

c)

x

d)

2

73.

Factor:
x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

74.

Factor:
10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

75.

What is the GCF? 2x²-4x+8

a)

2x

b)

2

c)

x

d)

1

76.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

77.

Factor by using GCF:
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

78.

3x³+ 9x²- 15x

a)

x(3x² + 9x - 15)

b)

3x(x² + 3x - 5)

c)

3x(x² - 9x + 15)

d)

x(3x² -9x + 15)

79.

Factor:
2n²+16n+12

a)

2n(n²+24n+6)

b)

2(n²+8n+6)

c)

2n(n²+8n+6)

d)

3(n²+8n+6)

80.

Factor:
80x⁵-70x²-60x⁷

a)

2x²(80x³-70-60x⁶)

b)

10x²(80x⁴-70x-60x⁶)

c)

10x²(8x³-7-6x⁵)

d)

3x²(80x³-40-60x⁵)

81.

What is the GCF of 18k and 15k³

a)

3k²

b)

3k³

c)

3k

d)

5k

82.

GCF of 35f + 40f

a)

5f

b)

10

c)

f

d)

2f

83.

16x³, 12x³, x³

a)

1

b)

12x

c)

6x³

d)

x³

84.

What is the GCF? 12x+8

a)

12

b)

8

c)

4

d)

x

85.

Challenge:
Find the GCF of 26xy and 10x²y²

a)

2xy

b)

2x²y²

c)

10x²y²

d)

10xy

86.

Challenge:
Find the GCF of 9u³v⁴w and 15u²v²w²

a)

9u²v²w

b)

9u³v⁴w²

c)

3u³v⁴w²

d)

3u²v²w

87.

Factor:
p² - 14p

a)

p(1 - 14)

b)

2p(p - 7)

c)

p²(1-14)

d)

p(p - 14)

88.

What is the GCF of the trinomial?
3x²- 9x -120

a)

3

b)

2

c)

6

d)

9

89.

Review: Multiply
x²(2x+3)

a)

x²+2x+3

b)

2x+3

c)

2x²+3x

d)

2x³+3x²

90.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

91.

Factor:
2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n²)

c)

2n³(10-8n²)

d)

3n(1-4n)

92.

Factor:
10a⁴+16a+10a²

a)

2a(5a³⁺8+5a)

b)

2a⁴(5a+8a²+5a³)

c)

2a⁴(10+16a+40a²)

d)

3a³(5+8a+a²)

93.

Factor
4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

94.

63x⁴ - 7x² + 28x

a)

7x(9x² - 7 + 4x)

b)

x(63x³ - 7x + 28)

c)

7x(9x³ - x + 4)

d)

can't be factored

95.

39y⁵ + 12y⁴- 3y³

a)

3y(13y⁴ + 4y³ - y²)

b)

3y³(13y² + 4y - 1)

c)

y³(39y² + 12y - 3)

Find GCF and Factor Out GCF

Total questions: 95

Worksheet time: 3hrs 10mins

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