Adam is preparing sales kits for his sales representatives to show to customers. He has 12 samples of tile and 15 samples of carpet, and he wants to create identical sales kits, with no samples left over. What is the greatest number of sales kits Adam can prepare?
List the factors of each number. Find the largest number that appears in both lists.
Factors of 12: 12, 6, 4, 3, 2, 1
Factors of 15: 15, 5, 3, 1
The highest common factor of 12 and 15 is 3. That means that the greatest possible number of sales kits is 3, because 12 samples of tile could be split into 3 kits with 4 samples of tile each and 15 samples of carpet could be split into 3 kits with 5 samples of carpet each.
The greatest number of sales kits Adam can prepare is 3.