If n and y are positive integers, what's the greatest prime

[Guest]

If n and y are positive integers, what's the greatest prime factor of n and t?

1. The greatest common factor of n and t is 5.
2. The least common multiple of n and t is 105.

My exam is next week. I came across this problem and was not able to solve it. Can someone help with it?

OA is B.

Thank you.

[RA]

(1) The first statement does not tell us about factors that are not common to n and t. One of those factors might be greater or less than 5. Tis statement alone is NOT SUFFICIENT

(2) The LCM is 105 which can be factored as 3*5*7. Since LCM incorporates all the factors of n and t we know the greatest factor for the two numbers is 7. Hence this statement is sufficient.

Hope this helps.

[viksnme]

If n and y are positive integers, what's the greatest prime factor of n and t?

1. The greatest common factor of n and t is 5.
2. The least common multiple of n and t is 105.

My exam is next week. I came across this problem and was not able to solve it. Can someone help with it?

OA is B.

Thank you.

Please check the question. Instead, does it ask for the greatest prime factor of n*t ?
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http://www.manhattangmat.com/forums/post6348.html