GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 19 Oct 2018, 17:29

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.

Close

Request Expert Reply

Confirm Cancel

What is the greatest prime factor of (13!12!) + (13!14!)?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50002
What is the greatest prime factor of (13!12!) + (13!14!)?  [#permalink]

Show Tags

New post 21 Jan 2015, 02:30
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

51% (01:32) correct 49% (01:43) wrong based on 182 sessions

HideShow timer Statistics

Most Helpful Community Reply
Senior Manager
Senior Manager
User avatar
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 422
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Re: What is the greatest prime factor of (13!12!) + (13!14!)?  [#permalink]

Show Tags

New post 27 Jan 2015, 08:16
3
2
Or with a few more steps:

13!12! + 13!14!
12!12!13 + 13!13!14
12!12!13 + 12!12!*13*13*14
12!12!13 (1+13*14)
12!12!13*183
12!12!13*3*61

So, ANS D
General Discussion
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6961
Re: What is the greatest prime factor of (13!12!) + (13!14!)?  [#permalink]

Show Tags

New post 21 Jan 2015, 07:23
1
1
D 61.... take out common 13!12!(1+14*13)=13!12!183...in 183 ,61 is the largest prime number
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1829
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: What is the greatest prime factor of (13!12!) + (13!14!)?  [#permalink]

Show Tags

New post 22 Jan 2015, 03:17
3
Answer = D = 61

13!12! + 13!14!

= 13!12! + 13! * 14 * 13 * 12!

= 13!12!(1 + 169+13)

= 13! 12! * 61 * 3

GCD = 61
_________________

Kindly press "+1 Kudos" to appreciate :)

Manager
Manager
User avatar
B
Joined: 16 Mar 2016
Posts: 129
Location: France
GMAT 1: 660 Q47 V33
GPA: 3.25
GMAT ToolKit User
Re: What is the greatest prime factor of (13!12!) + (13!14!)?  [#permalink]

Show Tags

New post 04 May 2016, 14:09
1
(13!12!) + (13!14!)
13!12! x ( 1+ 14 x 13)
13!12! x 183
13!12! x 3 x 61
Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2638
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User Premium Member
Re: What is the greatest prime factor of (13!12!) + (13!14!)?  [#permalink]

Show Tags

New post 22 Nov 2016, 01:54
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8460
Premium Member
Re: What is the greatest prime factor of (13!12!) + (13!14!)?  [#permalink]

Show Tags

New post 27 Nov 2017, 15:35
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: What is the greatest prime factor of (13!12!) + (13!14!)? &nbs [#permalink] 27 Nov 2017, 15:35
Display posts from previous: Sort by

What is the greatest prime factor of (13!12!) + (13!14!)?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.