Li Na is going to plant 63 tomato plants and 81 soy bean plants.
Li Na would like to plant the plants in rows where each row has the same number of tomato plants and each row has the same number of soy bean plants.
What is the greatest number of rows Li Na can plant?
(1 point)
Responses
27
27
21
21
3
3
9
9
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To find the greatest number of rows that Li Na can plant, we need to find the greatest common factor of 63 and 81.
The prime factorization of 63 is 3*3*7 and the prime factorization of 81 is 3*3*3*3.
To find the greatest common factor, we take the product of the common prime factors raised to the smallest power they appear in either number. In this case, that would be 3*3 = 9.
Therefore, Li Na can plant the plants in rows of 9.