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Two numbers $90$ and $m$ share exactly three positive divisors. What is the greatest of these three common divisors?

 Apr 15, 2020
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First, 90= 2 * 3^2 * 5. We know that m must be multiple of 2,3 and 5. So LCM(2,3,5) = 30. So, it is 5. 

 Apr 15, 2020

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