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Bernard is planting $15$ bushes and $18$ trees in rows. If he wants all the rows to be exactly the same, with no plants left over, what is the greatest number of rows Bernard can plant? $\newline$ $\_\_\_\_$ rows

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GCF and LCM: word problems

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Q. Bernard is planting

15

bushes and

18

trees in rows. If he wants all the rows to be exactly the same, with no plants left over, what is the greatest number of rows Bernard can plant?

\newline

\_\_\_\_

rows

Identify Problem: Step $1$ : Identify the problem. We need to find the greatest number of rows that can contain an equal number of bushes and trees without any leftovers.
Determine GCF: Step $2$ : Determine the greatest common factor (GCF) of the number of bushes and trees. $\newline$ Bushes: $15$ $\newline$ Trees: $18$ $\newline$ Factors of $15$ : $1, 3, 5, 15$ $\newline$ Factors of $18$ : $1, 2, 3, 6, 9, 18$ $\newline$ Common factors: $1, 3$ $\newline$ The GCF is $3$ .
Calculate Rows: Step $3$ : Calculate the number of rows using the GCF. $\newline$ Number of rows = GCF of bushes and trees = $3$ rows.

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