NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 23:07 It is currently 24 Apr 2024, 23:07
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If y = 30p, and p is prime, what is the greatest common factor of y

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618857 [5]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
If y = 30p, and p is prime, what is the greatest common factor of y [#permalink] New post   02 Jul 2015, 02:35
1
Kudos
4
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

86% (01:07) correct 14% (01:32) wrong based on 373 sessions
Hide Show timer Statistics
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.
ShowHide Answer
Official Answer
B
Most Helpful Reply
User avatar
G
ENGRTOMBA2018
SVP
SVP
Joined: 20 Mar 2014
Posts: 2362
Own Kudos [?]: 3626 [5]
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Send PM
GMAT ToolKit User Reviews Badge
Re: If y = 30p, and p is prime, what is the greatest common factor of y [#permalink] New post   02 Jul 2015, 04:14
3
Kudos
2
Bookmarks
y=30p = 2*3*5*p
14p=2*7*p

GCD of (y,14p)=2*p (taking the common prime factors out of the numbers).

We can even arrive at this answer simply by assuming p=11 (we can choose any prime number as there is no restriction!)
General Discussion
User avatar
B
kanigmat011
Manager
Manager
Joined: 27 Jul 2014
Posts: 202
Own Kudos [?]: 361 [3]
Given Kudos: 15
Schools: ISB '15
GMAT 1: 660 Q49 V30
GPA: 3.76
Send PM
GMAT ToolKit User Reviews Badge
Re: If y = 30p, and p is prime, what is the greatest common factor of y [#permalink] New post   02 Jul 2015, 02:38
2
Kudos
1
Bookmarks
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

IMO
B is the correct answer
Y=30p
other number is 14p
then GCF(30p,14P)=2P
avatar
Jiaray20
Intern
Intern
Joined: 14 Apr 2014
Posts: 16
Own Kudos [?]: 3 [1]
Given Kudos: 50
Location: India
GPA: 4
Send PM
Re: If y = 30p, and p is prime, what is the greatest common factor of y [#permalink] New post   02 Jul 2015, 02:49
1
Kudos
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.
avatar
noTh1ng
Manager
Manager
Joined: 07 Apr 2015
Posts: 129
Own Kudos [?]: 189 [1]
Given Kudos: 185
Send PM
Re: If y = 30p, and p is prime, what is the greatest common factor of y [#permalink] New post   02 Jul 2015, 06:26
1
Kudos
Let p = 3

y = 30 * 3 = 90
14 * 3 = 42

Greatest Common Factor of 42 and 90 can't be a multiple of 5, nor 7.
It can't be p^2 either, as 42 is not divisible by 9.

Leaves only p and 2*p of which 2p is obviously greater than p.

B
User avatar
B
balamoon
Manager
Manager
Joined: 26 Dec 2011
Posts: 111
Own Kudos [?]: 267 [3]
Given Kudos: 91
Schools: HBS '18 IIMA
Send PM
Re: If y = 30p, and p is prime, what is the greatest common factor of y [#permalink] New post   02 Jul 2015, 07:22
1
Kudos
2
Bookmarks
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.


Solution -

Factors of 30p - 1p, 2p, 3p, 5p, 6p, 10p, 15p, 30p
Factors of 14p - 1p, 2p, 7p, 14p

Common factors are 1p and 2p.

Greatest common factor is 2p. ANS B.
User avatar
P
sunita123
Manager
Manager
Joined: 13 Oct 2013
Posts: 117
Own Kudos [?]: 200 [1]
Given Kudos: 530
Concentration: Strategy, Entrepreneurship
Send PM
GMAT ToolKit User
Re: If y = 30p, and p is prime, what is the greatest common factor of y [#permalink] New post   02 Jul 2015, 09:25
1
Kudos
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

my approach:
Just picked a prime number for P

P=2
y=60
14p=28

greatest common factor for 60 & 28 is 4 which is 2P

Ans is B
avatar
robinpallickal
Intern
Intern
Joined: 30 Jul 2008
Posts: 15
Own Kudos [?]: 7 [1]
Given Kudos: 23
Send PM
Re: If y = 30p, and p is prime, what is the greatest common factor of y [#permalink] New post   02 Jul 2015, 22:01
1
Kudos
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.


y = 30p = 5*2*3*p
14p = 7*2*p
G common factor = 2*p
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5957
Own Kudos [?]: 13387 [3]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
If y = 30p, and p is prime, what is the greatest common factor of y [#permalink] New post   03 Jul 2015, 01:03
1
Kudos
2
Bookmarks
Expert Reply
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
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618857 [0]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: If y = 30p, and p is prime, what is the greatest common factor of y [#permalink] New post   06 Jul 2015, 04:11
Expert Reply
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.


MANHATTAN GMAT OFFICIAL SOLUTION:

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.

Answer: B.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32660
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: If y = 30p, and p is prime, what is the greatest common factor of y [#permalink] New post   02 Dec 2022, 03:47
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: If y = 30p, and p is prime, what is the greatest common factor of y [#permalink]
02 Dec 2022, 03:47
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions