Factoring out the GCF
Word Problems
Factors
GCF
Misc
100

Write 3 + 15 as a product of the GCF and another sum.

3(1+5)

100

Addison has 48 packs of Skittles and 36 packs of M&Ms.  She wants to divide them into identical groups, with no packets left over.  What is the greatest number of groups Addison can make?

12

100

What are the factors of 6

1, 2, 3, 6

100

What is the GCF of 4, 10? 

2

100

Which number is prime?

A) 4

B) 13

C) 15

D) 21

B- 13 is the only choice with only 2 factors(1 and 13)

200

Write 12 + 20 as a product of the GCF and another sum.

4(3 + 5)

200

For a dinner party, Savannah is creating individual servings of appetizers. She has 18 carrot sticks and 10 celery sticks. If she wants each serving to be identical, with no food left over, what is the greatest number of servings Savannah can create?

2

200

What are the factors of 18

1, 2, 3, 6, 9, 18

200

What is the GCF of 6, 24?

6

200

Which number is NOT a factor of 48?

A) 2

B) 6

C) 9

D) 12

C

300

Write 32 - 24 as the product of the GCF and another difference.

8(4 - 3)

300

Cy has 42 baseball cards and 70 football cards that he wants to group into the greatest number of packages possible.  Each package will have the same number of baseball cards and the same number of football cards.  How many packages will Cy make? 

14

300

What are the factors of 35?

1, 5, 7, 35

300

What is the GCF 12, 24? 

12

300

Write 39 + 51 as the product of the GCF and another sum.

3(13 + 17)

400

Write 48 - 36 as the product of the GCF and another difference.

12(4 - 3)

400

Zoe cut 15 pink roses, 18 red roses, and 12 white roses from the bushes in her back yard.  If she wants to make identical flower arrangements with no flowers left over, what is the greatest number of arrangements Zoe can make?

3

400

What are the factors of 24?

1, 2, 3, 4, 6, 8, 12, 24

400

What is the GCF of 16, 40? 

8

400

Claire packed 54 cokes and 45 pretzels into boxes. She packed both cokes and pretzels into each box. She put the same number of cokes into every box and the same number of pretzels into every box. She sold each box for $30. What is the greatest amount of money Claire could earn selling all the boxes?

The greatest number of boxes is 9(GCF of 54 and 45).   $30 x 9 = $270.

500

Write 75 + 90 as the product of the GCF and another sum.

15(5 + 6)

500

Ms. Prime has 24 glue sticks, 36 boxes of crayons, and 18 rulers to make into school packets.  What is the largest number of packets she can make with the supplies? How many of each supply will be in each packet?

6 packets; 4 glue sticks; 6 boxes of crayons, 3 rulers

500

What are the factors of 49

1, 7, 49

500

What is the GCF of 28, 42? 

14

500

Marshall is making identical balloon arrangements for a party.  He has 30 blue balloons, 45 white balloons, and 60 green balloons. He wants each arrangement to have the same number of each color.  What is the greatest number of arrangements that he can make if every balloon is used?  How many of each color will be in each arrangement?

15 arrangements; 2 blue; 3 white; 4 green