Solving LCM and GCF Word Problems

Which of the following options represents the prime factors of 42?

Emma has 30 red marbles, and her friend John has 42 blue marbles. They want to distribute all of their marbles evenly into gift sets. What is the largest number of sets they can make using all of their marbles?

• 2

• 6

• 7

• 3

Which of the following options represents the prime factors of 56?

Sophie has a collection of 42 red pens, and she also has a collection of 56 blue pencils. She wants to arrange them into equal-sized groups to give to her friends as gifts. What is the largest number of groups Sophie can have if she wants to distribute them evenly among her friends?

• 28

• 14

• 42

• 168