144 cartons of Coke Cans and 90 cartons of Pepsi Cans are to be stacked in a Canteen. If each stack is of the same height and is to contain cartons of the same drink, what would be the greatest number of cartons each stack would have?

To find greatest number of cartons each stack would have, we should find HCF of 144 and 90


Prime factors of 144 = 2 × 2 × 2 × 2 × 3 × 3


Prime factors of 90 = 2 × 3 × 3 × 5


Therefore HCF of 144 and 90 is: 2 × 3 × 3 = 18


Therefore the greatest number of cartons each stack would have is: 18


16