Imagine you have a rectangular room measuring 12 meters by 18 meters. You want to cover the entire floor with square tiles, each measuring 0.5 meters on a side. However, you don't want to cut any tiles, so you need to choose a tile size that will cover the floor with whole tiles, leaving the smallest possible leftover wasted space.

What is the side length of the largest square tile you can use to cover the floor with whole tiles, and what is the total leftover wasted floor area?

This question requires you to find the largest common factor (LCF) of the room's dimensions (12 meters and 18 meters) to determine the maximum whole tile size that fits evenly. Then, you'll need to calculate the leftover wasted space.