Greatest common factor word problems

Six interesting greatest common factor word problems you can give to your students to tease them.

Word problem #1

A cell phone company produces 40 defective phones out of every 5000 phones. Another cell phone company produces 30 defective phones out of every 6000 phones. What is the highest number of defective phones do the companies have in common?

Word problem #2

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?

Word problem #3

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?

More Interesting Greatest common factor word problems

Word problem #4

Peter has 12 dollars in his pocket and James has 15 dollars. They want to give money to each other. How much money will they have left after they give to each other the same but highest possible amount?

Word problem #5

A car dealer has 20 Toyota Camrys and 25 Honda Accords left on the parking lot. The dealer wants to arrange the cars in rows so that each row has the same number of vehicles and the same number of vehicles of each type. What is the greatest number of rows that can be formed?

Word problem #6

A math teacher combines his class with a science teacher for a group activity. The math teacher has 18 students and the science teacher has 27 students. The teachers want to form groups of the same size. Each group must have the same number of math students and the same number of science students. What is the greatest number of groups the teachers can form?