The school band has \(24\) trumpet players and \(36\) flute players. The director wants to split them into the greatest possible number of identical practice groups so that each group has the same number of trumpet players and the same number of flute players, with no students left over. Which complete response correctly solves the situation?

This story splits two fixed totals into the greatest number of identical groups, so the group count must divide both totals rather than mark a repeated meeting time. We’ll compare the factors of twenty-four and thirty-six, take the greatest shared factor, and divide each player total by it. Equal whole-number group sizes confirm the structure.