Question

greatest common factor - applications - item 20051
you want to lay tile in a room of your house. the room is 12 feet by 8 feet. what is the side measure of the largest square tile that you can use to cover the whole floor so there is no overlap or cutting?
1 foot
2 feet
4 feet
8 feet

Explanation:

Step1: Find factors of 12

The factors of 12 are $1, 2, 3, 4, 6, 12$.

Step2: Find factors of 8

The factors of 8 are $1, 2, 4, 8$.

Step3: Identify GCF

The common factors of 12 and 8 are $1, 2, 4$. The greatest among them is 4. So the largest square tile side is 4 feet.

Answer:

4 feet (corresponding to the option with "4 feet")