Ahmad packed 36 party bags and Priya packed 48 party bags for their class celebration. They want to arrange all the bags into equal-sized groups, with no bags left over. What is the largest number of bags that can be in each group?
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Worked Solution
Step 1: List all factors of 36.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Step 2: List all factors of 48.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Step 3: Identify the common factors (numbers that appear in both lists).
Common factors: 1, 2, 3, 4, 6, 12
Step 4: Choose the greatest common factor.
GCF = 12
Each group can have 12 bags.
Correct answer: 12
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