Aunty Ng has 12 ondeh-ondeh and 18 kueh lapis. She wants to share them into equal portions, with the same number of each kueh type in every portion. What is the greatest common factor of 12 and 18?
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Worked Solution
Step 1: List all factors of each number. Factors of 12 = {1, 2, 3, 4, 6, 12}. Factors of 18 = {1, 2, 3, 6, 9, 18}.
Step 2: Find the factors that appear in BOTH lists (common factors): Common factors = {1, 2, 3, 6}.
Step 3: Pick the LARGEST common factor: Greatest common factor (GCF) = 6.
Step 4: Check: 12 ÷ 6 = 2 ✓ and 18 ÷ 6 = 3 ✓.
Answer: 6
Correct answer: 6
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