Prime Factorization
Multiples
GCF
LCM
GCF or LCM Word Problems
100

Write the Prime Factorization of 24

 2^3*3 

100

List the first five multiples of 10

10,20,30,40,50

100
Find the GCF of 12 & 15
GCF=3
100

Find the LCM of 4 & 6

LCM=12

100

Josh and Eva are packing first-aid supplies for soldiers over seas.  It takes Josh 12 minutes and Eva 8 minutes to pack a box.  If they start packing boxes at the same time, how long will it be before they start packing a box at the same time again?

24 minutes.  

200

Write the prime factorization of 77

7*11

200

List the first eight multiples of 12

12,24,36,48,60,72,84,96

200

Find the GCF of 24 & 36

GCF=12

200

Find the LCM of 4 & 22 

LCM= 44

200

A fruit salad recipe calls for grapes, strawberries and chunks of cantelope.  What is the greatest number of servings that can be made using all the fruit if you have 36 strawberries, 90 grapes and 72 chunks of cantelope? 

18 servings 

300

Write the prime factorization of 200

2^3*5^2

300

List the first five multiples of 14

14,28,42,56,70

300

Find the GCF of 30 and 75

GCF=15

300
Find the LCM of 24 and 36
LCM=72
300

A jeweler is making identical necklaces.  He has 24 gold beads and 108 colored glass beads.  How many necklaces can be made using all the beads?

12 necklaces 

400

Write the prime factorization of 144

2^4*3^2

400

List the first six multiples of 13

13, 26, 39, 52, 65, 78

400
Find the GCF of 200 & 300
GCF= 100
400

Find the LCM of 20 & 35 

LCM=140

400

The sanitation department picks up garbage every 3 days and recycling every 4 days.  If today is May 4th and both garbage and recycling were picked up.  What will the date be when they are both picked up on the same day again?

May 16th

500

Write the prime factorization of 702

2*3^3*13

500

List the first four multiples of 28

28, 56, 84, 112

500

What is GCF of 65, 39, and 26? 

GCF = 13

500

What is LCM of 6, 9, and 12

LCM=36

500

David is helping his father paint a fence.  David can paint a board in 8 minutes and his father can paint a board in 12 minutes.  

a) If they started a board at the same time just now, how many minutes will pass before they start another board at the same time again?  

b) How many board would each of them have painted after working for 2 hours?

a) 24 minutes 

b) David = 15 boards ; Davids father = 10

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