Factor & Multiple

Land

Find the greatest

common factor of 28 and 32

4

Find the least common

multiple of 4 and 6

12

GCF(30, 60, 75)

15

Chris is making goodie bags to hand out at his

birthday party. Chris has 36 gumdrops, 8 packages of

nerds, and 52 sticks of gum. He would like to use all of the candy and have no leftovers. How many gumdrops will each of

Chris’s friends receive in their goodie bag?

9 gumdrop

s

George is placing his toys in piles. He can

make piles of 6 or piles 9 with no leftover toys and an equal amount of toys in each pile.

What is the least number of total toys George can have?

18 toys

Kenneth and his friend Troy are running laps on the

school track. They started at the same time. Kenneth

can run one lap in 7 minutes and Troy can run a lap in 8 minutes. After how

many minutes will they complete a lap at the same

exact time?

40 minutes

Kenneth and his friend Troy are running laps on the

school track. They started at the same time. Kenneth

can run one lap in 5 minutes and Troy can run a

lap in 8 minutes. When they next complete a lap at the same time, how

many laps will Troy have completed?

5 laps

Find the greatest

common factor of 120 and 135

15

Find the least common

multiple of 4 and 8

4

Ronald is making his own party mix to hand out to the crowd at the football game.

He has 18 ounces of Cheerios, 42 ounces of Wheat Chex, and

72 ounces of m&m’s for the mix. If Ronald wants to make equal sized portions and have

no leftovers, how many ounces of m&m’s will go in

each bag?

12 ounces

Find the least common

multiple of 3, 7, and 9

63

Carla is creating baskets for a raffle. She has 28 scratch-off lottery tickets, 42 gift cards for Regal Cinemas, and 21

bags of m&m’s to put in the baskets. What is the greatest number of baskets Carla can make so that each basket is exactly the same and there

are no items leftover?

7 baskets

GCF(28,37)

1

LCM(20,30)

60

Yani is planting flowers in his front yard. He

can make rows of 9 or rows of 12 and not

have any plants leftover. What is the

least number of flowers Yani can have?

36 flowers

Sally is making a salad and has several toppings for her salad. She has 48 croutons,

36 pieces of bacon crumbles, and 72 sunflower seeds. Sally wants to put an equal amount of each topping on each salad with no leftovers. How many salads can Susie make? How

many croutons will be on each salad?

12 salads with 14 croutons

on it

True or False: Every set of

numbers has a greatest

common factor. Explain your

answer.

True, all numbers share a

common factor of 1

True or False: The least common multiple of a set of numbers is equal to the product of

the numbers in the list

False. This is

sometimes true but

not always true