Greatest Number Word Problems

What are some key words to help us identify how to find the GCF of a word problem?

• Least, Smallest, Minimum

• Greatest, Largest, Maximum

• Dividing something, Cutting something into pieces

• Repeated over and over, When both meet again

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need?

• 52 Containers

• 364 Containers

• 3 Containers

• 6 Containers

Anthony's mom gave him 30 dollars while Jennifer's mom gave her 36 dollars. They want to give the same amount of money to a charity. What is the greatest donation they can make?

• $2

• $4

• $6

• $8

Sam has 39 pencils and 26 pens to distribute to his classmates? Each student must receive the same amount of pens and pencils and there will be no pens or pencils left. What is the greatest number of students in that class?

• 13 Students

• 7 Students

• 3 Students

• 9 Students

The table shows the number of students in the school choir.

The choir teacher plans to arrange the students in equal rows. Only girls or boys will be in each row. What is the greatest number of students that could be in each row?

• 16

• 12

• 8

• 4

Egbert is making trail mix out of 18 bags of nuts and 9 bags of dried fruit. He wants each new portion of trail mix to be identical, containing the same combination of bags of nuts and bags of dried fruit, with no bags left over. What is the greatest number of portions of trail mix Egbert can make?

• 1

• 9

• 18

• 6

Miguel scored 18 goals for his soccer team last season. His friend Carlos scored 15 goals. If we were to put the amount of goals together evenly, what would be the highest number of goals in each group?

• 9

• 10

• 11

• 3