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PrepTap

Can you explain what does statement 2 mean.
I didnt get wht is it trying to say.
And i also didnt get wht did you mean by :
The second statement says b/p and a don't have a common prime factor, so p (=2^1) must've been the common factor of a and b.
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Shree9975
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Can you explain what does statement 2 mean.
I didnt get wht is it trying to say.

Hi Shree9975

Let's say b/p = k, where k is an integer since b is divisible by p as per the question.

Statement 2 means k and a don't have any prime factor in common, e.g. k can be 6 and a can be 35.
Here, the prime factors of 6 are 2 and 3 whereas those of 35 are 5 and 7.

Shree9975
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And i also didnt get wht did you mean by :
The second statement says b/p and a don't have a common prime factor, so p (=2^1) must've been the common factor of a and b.

From the first statement, we learn that the common prime factor of a and b is 2.

From the second, we know that a and b/p don't have a common prime factor. So either a and b don't have a common factor or they can have p as a common factor. So, either the GCD is 1 or p.

When we combine these two statements, we know that a and b have only one common prime factor 2, so p = 2.

Let us know if that answers your query.
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