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A P.E. teacher needs to divide $16$ male students and $8$ female students into teams, each with the same combination of male students and female students and nobody left out. What is the greatest number of teams that can be formed? $\newline$ _____ teams

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GCF and LCM: word problems

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Q. A P.E. teacher needs to divide

16

male students and

8

female students into teams, each with the same combination of male students and female students and nobody left out. What is the greatest number of teams that can be formed?

\newline

_____ teams

Identify Need: Step $1$ : Identify the need to find the greatest common factor (GCF) to determine the maximum number of teams that can be formed with equal numbers of male and female students.
List Factors: Step $2$ : List the factors of $16$ and $8$ . $\newline$ Factors of $16$ : $1$ , $2$ , $4$ , $8$ , $16$ $\newline$ Factors of $8$ : $1$ , $2$ , $4$ , $8$ $\newline$ Common factors: $1$ , $2$ , $4$ , $8$ $\newline$ The GCF is $8$ .
Conclude Teams: Step $3$ : Conclude the greatest number of teams that can be formed. $\newline$ Since the GCF of $16$ and $8$ is $8$ , the greatest number of teams that can be formed is $8$ , with each team having $2$ male students and $1$ female student.

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