A farmer in Jamaica wants to divide 84 coconuts equally among his workers. He finds that when divided among 5 workers, there are 4 coconuts remaining. When divided among 7 workers, there are none remaining. What is the Highest Common Factor (HCF) of 84 and 35?

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Question

A farmer in Jamaica wants to divide 84 coconuts equally among his workers. He finds that when divided among 5 workers, there are 4 coconuts remaining. When divided among 7 workers, there are none remaining. What is the Highest Common Factor (HCF) of 84 and 35?

Accepted Answer

7 — Award 1 mark for correctly identifying that 84 = 2² × 3 × 7 and 35 = 5 × 7, so HCF = 7. A is incorrect because 5 is not a factor of 84. C is incorrect because 12 is not a factor of 35. D is incorrect because 21 is not a factor of 35.

Answer

21

Answer

7

Answer

5

Answer

12

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