A supervisor has 108 bolts and 144 nuts to pack into identical kits with none left over. What is the greatest number of kits that can be made?

Correct answer to question 239 (Arithmetic Reasoning): 36 kits

Method

The kit count must divide both quantities exactly, so it is the greatest common factor of 108 and 144. Since 108 is 2 x 2 x 3 x 3 x 3 and 144 is 2 x 2 x 2 x 2 x 3 x 3, they share 2 x 2 x 3 x 3 = 36, so 36 kits can be made.