Prime Factorization and Greatest Perfect Square
GCF
LCM
GCF AND LCM
IRL
MYSTERY
100

The prime factorization of 14.

2 x 7

100

The GCF of 6 and 15.

What is 3?

100

The LCM of 2 and 9.

What is 18?

100

You have a piano lesson every 4 days.

You have a guitar lesson every 6 days.

Today you had both lessons. In how many days will you have both lessons on the same day again?

12 days

100

The GCF of 39 and 65.

What is 13?
200

The Prime Factorization of 40.

2x 5

200

The GCF of 12 and 48.

What is 12?

200

The LCM of 15 and 20.

What is 60?

200

You are making balloon arrangements. 

There are 16 white balloons.

There are 24 red balloons.

What is the greatest number of arrangements you can make using every balloon?

What is 8 arrangements?

200

The Prime Factorization of 48.

What is 24 x 3.

300

The Prime Factorization of 99.

What is 3x 11?

300

The GCF of 45 and 60.

What is 15?

300

The LCM of 9 and 21.

What is 63?

300

You have 52 inches of yellow ribbon.

You have 64 inches of red ribbon. 

You want to cut the pieces of ribbon into equal lengths with no leftovers. 

What is the greatest length of pieces that you can make?

What is 4 inches?

300

The greatest perfect square that is a factor of 60.

What is 4?

400

The number represented by this prime factorization:

2x 3 x .

What is 84?

400

The GCF of 38 and 95.

What is 19?

400

The LCM of 12 and 27.

What is 108?

400

Hamburgers come in packs of 20.

Buns come in packs of 12. 

What is the least number of packs of hamburgers and buns you should buy to have the same number of both?

Packs of Burgers:

Packs of Buns:

What is 

3 packs of hamburgers

5 packs of buns

400

There are two traffic lights.

The first traffic light changes every 30 seconds.

The second traffic light changes every 40 seconds.

Both lights just changed.

How many seconds until they both change at the same time again?

What is 120 seconds?

500

The greatest perfect square that is a factor of 150?

What is 25.

500

The GCF of 42, 70, and 84.

What is 14?

500

The LCM of 6, 8, and 15.

What is 120?

500

You purchase plates, cups and forks for a cook out. 

Plates are sold in packages of 24.

Cups are sold in packages of 32.

Forks are sold in packages of 48.

What is the least number of packages you should buy in order to have the same number of plates, cups, and forks.

packages of plates:

packages of cups:

packages of forks:

4 packages of plates

3 packages of cups 

2 packages of forks

500

A florist is making identical bouquets using 

72 red roses

60 pink roses

48 yellow roses

What is the greatest number of bouquets the florist can make without any roses left over?

What is 12?

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