Factors and Multiples Find the greatest common factor

Factors and Multiples

Find the greatest common factor of 28 and 32.

4

Find the least common multiple of 4 and 6.

12

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.

GCF(28, 37)

1

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

9 gumdrops

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

True or False: Every set of numbers has a greatest common factor. Explain your answer.

True, all numbers share a common factor of 1

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

56 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 6 minutes and Troy can run a lap in 8 minutes. How many minutes will pass before they next complete a lap at the same time? How many laps will Troy

24 minutes and 3 laps

Find the greatest common factor of 120 and 135.

15

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 scratchoff 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

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 and 14 croutons

Find the least common multiple of 4 and 8.

8

LCM(20, 30)

60