1. *Greatest counting number that is a factor of all the given counting numbers. Example: What is the GFC of 12 and 18? Factors of 12: 1, 2, 3, 4, 6, 12 Factors of 18: 1, 2,3, 6, 9, 18 Greatest Common Factor of 12 and 18 = 6

2.  It is Kelly’s first day in her new school and it is our job to find Kelly a friend! In order to find a friend, we need to know a little bit about Kelly.  Kelly is smart, funny, friendly, and athletic.  Kelly thinks the greatest factor for a friend to have is to be athletic because she needs someone to play with at recess.  For Kelly to get along with her new friend she wants someone who has her same personality factors but overall athleticism is her greatest concern.  Devyn does not get good grades in school but she is very funny and friendly however she hates to play sports during recess.  Maggie is smart, funny, and friendly, but is not athletic either.  Ashley is not smart but she is funny, friendly, and loves to play sports.  Can you tell which girl shares the Greatest Common Factor with Kelly??

3.  Kelly- Smart Funny Friendly Athletic  Devyn- X Funny Friendly X  Maggie- Smart Funny Friendly X  Ashley- X Funny Friendly Athletic  Who has the Greatest Common Factor to be Kelly’s new friend?

4.  Ashley will be Kelly’s new friend because she shared the Great Common Factor with Kelly, Athleticism.  Even though Devyn and Maggie had some factors in common with Kelly, they did not have the Greatest Common Factor that she was looking for.

5. *The least counting number that is a multiple of all the given numbers. Example: What is the LCM of 6 and 8? Multiples of 6- 6,12,24,30,36,42,48,54,60 Multiples of 8- 8,16,24,32,40,48,56,64,72 The Least Common Mutiple of 6 and 8 = 24

6.  Its Halloween night and Josh and Tyler have a handful of candy from trick or treating at their first house. It’s your job to help them figure out how they can get even more candy!  Josh has 6 pieces and Tyler has 8.  Their mom offered to give them the amount of candy that is equal to the least common multiple of their two amounts.  To do this they would have to multiply their amounts of candy until they get the smallest amount that is equal to each other.  Can you help Josh and Tyler find the least common multiple so they can get more candy??

7.  Josh = 6 pieces of candy  Tyler – 8 pieces of candy  Multiples of 6- 6,12,24,30,36,42,48,54,60  Multiples of 8- 8,16,24,32,40,48,56,64,72  Least Common Multiple = 24  Josh and Tyler will both get 24 more pieces of candy