Every problem below is solved by finding a greatest common factor (GCF). In each one, two amounts are split or shared into the largest equal parts with nothing left over; that largest part size is the greatest number that is a factor (or divisor) of both amounts.
At a picnic there are 18 granola bars and 24 juice boxes. They are shared among as many children as possible so that every child gets the same number of granola bars and the same number of juice boxes, with none left over. How many children share the snacks?
Ella plants 12 tomato seedlings and 18 pepper seedlings in rows. Every row holds the same number of plants and only one kind of plant, with none left over. What is the greatest number of plants that can go in each row?
One ribbon is 21 cm long and another is 28 cm long. Both are cut into equal-length pieces, as long as possible, with none wasted. How long is each piece?
Sam is making identical gift bags from 16 stickers and 12 erasers, using every item with none left over. What is the greatest number of gift bags Sam can make?
A rectangular board 36 cm by 27 cm is covered exactly with identical square tiles, using whole tiles only. What is the largest side length each square tile can have?
At a picnic there are 20 granola bars and 12 juice boxes. They are shared among as many children as possible so that every child gets the same number of granola bars and the same number of juice boxes, with none left over. How many children share the snacks?