Jennifer is planting 6 bushes and 16 trees in rows. If she wants all the rows to be exactly the same, with no plants left over, what is the greatest number of rows Jennifer can plant?
rows
To find the greatest number of rows Jennifer can plant, we need to find the greatest common divisor (GCD) between the number of bushes and trees.
The prime factorization of 6 is 2 * 3.
The prime factorization of 16 is 2 * 2 * 2 * 2.
The GCD is therefore 2, because that is the highest power of 2 that both numbers share.
Since Jennifer needs the same number of bushes and trees in each row, she can have 2 bushes and 2 trees in each row.
Thus, the greatest number of rows Jennifer can plant is 6 bushes / 2 bushes per row = 3 rows.