Name: ______GCF WS #2 – M6

Find the Greatest Common Factor for each set of numbers.

1) 80 & 24 2) 21 & 493) 18 & 25

4) What is the GCF of 40 and 24?

a) 2b) 4c) 6d) 8e) 12

5) The GCF of 42 and ______is 14? Fill in the blank with the correct answer. Hint, you should try each of the answer choices to see which one gives an answer of 14!

a) 1b) 6c) 21d) 28

6) Maria has 16 roses and 24 tulips. She wants to make bouquets with the same number of each

flower in each bouquet.

  1. What is the maximum number of bouquets she can make? ______
  2. How many roses will be in each bouquet? Show the division to justify your answer! ______
  3. How many tulips will be in each bouquet? Show the division to justify your answer! ______

7) Coach Boone has 28 basketballs and 14 soccer balls. He is going to divide them up so they are equally divided for groups in P.E. He wants the same number of each type of sports ball in each group.

  1. What is the largest number of groups Coach Boone can create? ______
  2. How many basketballs will be in each group? Show the division to justify your answer! ______
  3. How many soccer balls will be in each group? Show the division to justify your answer! ______

8) Nicolas is making baseball card sets to donate to charity. He has 12 Yankee and 32 Cubs cards.

  1. What is the most number of sets he can make if each set has the same number of Yankee and Cubs cards? ______
  2. How many Yankee cards will be in each set? Show the division to justify your answer! ______
  3. How many Cubs cards will be in each set? Show the division to justify your answer! ______

9)Konner is having an overnight birthday party. He wants to make sure every guest gets the same number of each beverage, so his mom is going to package the drinks for his friends.

Gatorade / 18
Water / 24
Soda / 30
  1. What is the greatest number of guests he can invite if everyone gets the same number of each type of beverage? ______
  2. How many Gatorades will every guest receive? Show the division to justify your answer! ______
  3. How many sodas will each guest receive? Show the division to justify your answer! ______
  4. How many waters will each guest receive? Show the division to justify your answer! ______

10)Lexi packed 6 boxes with identical supplies. It was the greatest number she could pack and use all the supplies. Which of these is her supply list?

  1. 24 pencils, 36 pens, and 10 rulersc. 30 pencils, 45 pens, and 12 rulers
  2. 42 pencils, 72 pens, and 18 rulersd. 54 pencils, 60 pens, and 32 rulers

Name: ______GCF WS #2 – M6

Find the Greatest Common Factor for each set of numbers.

1) 80 & 24 2) 21 & 493) 18 & 25

4) What is the GCF of 40 and 24?

a) 2b) 4c) 6d) 8e) 12

5) The GCF of 42 and ______is 14? Fill in the blank with the correct answer. Hint, you should try each of the answer choices to see which one gives an answer of 14!

a) 1b) 6c) 21d) 28

6) Maria has 16 roses and 24 tulips. She wants to make bouquets with the same number of each

flower in each bouquet.

  1. What is the maximum number of bouquets she can make? ______
  2. How many roses will be in each bouquet? Show the division to justify your answer! ______
  3. How many tulips will be in each bouquet? Show the division to justify your answer! ______

7) Coach Boone has 28 basketballs and 14 soccer balls. He is going to divide them up so they are equally divided for groups in P.E. He wants the same number of each type of sports ball in each group.

a. What is the largest number of groups Coach Boone can create? ______

b. How many basketballs will be in each group? Show the division to justify your answer! ______

  1. How many soccer balls will be in each group? Show the division to justify your answer! ______

8) Nicolas is making baseball card sets to donate to charity. He has 12 Yankee and 32 Cubs cards.

  1. What is the most number of sets he can make if each set has the same number of Yankee and Cubs cards? ______
  2. How many Yankee cards will be in each set? Show the division to justify your answer! ______
  3. How many Cubs cards will be in each set? Show the division to justify your answer! ______

9) Konner is having an overnight birthday party. He wants to make sure every guest gets the same number of each beverage, so his mom is going to package the drinks for his friends.

Gatorade / 18
Water / 24
Soda / 30
  1. What is the greatest number of guests he can invite if everyone gets the same number of each type of beverage? ______
  2. How many Gatorades will every guest receive? Show the division to justify your answer! ______
  3. How many sodas will each guest receive? Show the division to justify your answer! ______
  4. How many waters will each guest receive? Show the division to justify your answer! ______

10) Lexi packed 6 boxes with identical supplies. It was the greatest number she could pack and use all the supplies. Which of these is her supply list?

  1. 24 pencils, 36 pens, and 10 rulersc. 30 pencils, 45 pens, and 12 rulers
  2. 42 pencils, 72 pens, and 18 rulersd. 54 pencils, 60 pens, and 32 rulers