Pete has 99 hot dogs and 117 hot dog buns. He wants to put the same number of hot dogs and hot dog burns on each tray. What is the greatest number of trays Pete can use to accomplish this? Please show how you get this answer.
99 factors as 9 x 11
117 factors as 9 x 13
Thus, we could use 9 trays, each holding 11 hot dogs and 13 buns