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Re: If y = 30p, and p is prime, what is the greatest common factor of y
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02 Jul 2015, 01:49
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It has to be 2 p. y is a mutiple of prime p in terms of 30 & 14 p is also mutiple of p. so common factor wil be the common factor of 14 & 30 multiplied by prime p.
If y = 30p, and p is prime, what is the greatest common factor of y
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03 Jul 2015, 00:03
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Bunuel wrote:
If y = 30p, and p is prime, what is the greatest common factor of y and 14p, in terms of p?
A. p B. 2p C. 5p D. 7p E. p^2
Kudos for a correct solution.
Given: y = 30p, and p is prime
Question : GCD of y and 14p = ?
CONCEPT: Greatest Common Divisor is the Highest possible Number that can divide the set of Numbers completely without leaving any remainder therefore GCD must have the common Prime factors with their Highest Common Power available in each one of the numbers of the set.
y = 30 p = 2*3*5*p 14p = 2*7*p
i.e. GCD (Greatest Common Divisor) = 2*p
Answer: option B _________________
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The greatest common factor of y (= 30p) and 14p is the product of all the common prime factors, using the lower power of repeated factors. The only repeated factors are 2 and p: 2^1 x p^1 = 2 x p = 2p. Again, you would get the same answer if p were any positive integer.
Re: If y = 30p, and p is prime, what is the greatest common factor of y
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17 Oct 2018, 08:49
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86% (01:19) correct 
