SOLUTION: The organizer of a school concert set up chairs in two sections. the orchestra section has 84 chairs,and the audience section has 312 chairs. If all rows have the same number of ch

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Question 299946: The organizer of a school concert set up chairs in two sections. the orchestra section has 84 chairs,and the audience section has 312 chairs. If all rows have the same number of chairs, what is the greatest number of chairs that each row can have?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Common factors are:
84=1,2,3,4,6,7,[12],14,21,28,41,84
312=1,2,3,4,6,8,[12],13,24,26,39,52,78,194,156,312
12 is the largest factor in both numbers, thus 12 seats per row is the greatest number in all rows.