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k is a prime number

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Saraforgre
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k is a prime number [#permalink] New post   30 Jul 2020, 15:29
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Please help me with this GRE math question.

K is a prime number.

Quantity A: the greatest prime factor of 40k.
Quantity B: the greatest prime factor of 39k.

I know the answer is the relationship cannot be determined from the information given.

Could you please help me explain why? Thanks!
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Aaka
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Re: k is a prime number [#permalink] New post   31 Jul 2020, 07:00
For 40 the greatest prime factor is 5 while for 39 it is 13...but k is also a prime number which can be a number less or greater than 13. In the former case the quantities will vary (B>A) and in the latter the quantities will be equal.Also, A = B if k = 13.
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chacinluis
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Re: k is a prime number [#permalink] New post   03 Aug 2020, 04:05
40k=40*k=2*2*2*5*k
So the largest prime factor of 40k is either 5 or k

39k=39*k=3*13*k
So the largest prime factor of 39k is either 13 or k

If k= 17, Quantity A= Quantity B
Choice C

If k= 5, Quantity A=5 and Quantity B=13
Choice B


Final Answer: Choice D
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gmatclubot
Re: k is a prime number [#permalink]
03 Aug 2020, 04:05
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