An orchard owner wants to plant 64 cherry tree seedlings and 96 peach tree seedlings in rows. each row is to have the same number of each type of seedling. what is the greatest number of rows the owner can plant?

Given:
cherry tree seedlings : 64
peach tree seedlings : 96

64/96 : Simplify this fraction

64 / 8 = 8 / 4 = 2
96 / 8 = 12 / 4 = 3
2 and 3 number of seedlings per row

64 / 2 = 32
96 / 3 = 32
number of rows

The maximum number of rows that the owner can plant is 32 rows with 2 cherry tree seedlings and 3 peach tree seedlings.