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What is the greatest common divisor of 30 and 75?

A10
B5
C25
D15
Answer & Solution
Correct answer: D. 15
The positive divisors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. The positive divisors of 75 are 1, 3, 5, 15, 25, 75. The shared divisors are 1, 3, 5, 15, and the greatest is 15. Options A and B are common factors but not the greatest; option C divides 75 but not 30.
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