Answer:
24
Step-by-step explanation:
The greatest common divisor of 72 and 96 is 24. Robert can make any number of bags that is a divisor of 24. If he wants to make the largest number possible, then he can make 24 bags with 4 balloons and 3 pieces of candy in each one.
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72 = 2³·3²
96 = 2⁵·3
The greatest common divisor is the product of the common factors: 2³·3 = 24.