BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Greatest prime factor

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 72
Joined: Sun Nov 03, 2013 9:29 am
Thanked: 1 times
by josh80 » Wed Dec 11, 2013 3:58 pm
If n and t are positive integers, what is the greatest prime factor of the product nt?

1) the greatest common factor of n and t is 5

2) the least common multiple of n and t is 105
[/spoiler]
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
User avatar
Legendary Member
Posts: 1556
Joined: Tue Aug 14, 2012 11:18 pmFollowed by: 34 members
Thanked: 448 times
GMAT Score:650

by theCodeToGMAT » Thu Dec 12, 2013 12:15 am
To find: Greatest prime Factor of nt

Statement 1:
n = 5 x _
t = 5 x _
here, we don't know whether we have greater Prime factor than "5" in the "_".
INSUFFICIENT


Statement 2: LCM = 105 = 7 x 3 x 5
here, we are sure that n & t will have these 3 numbers..
So, "7" is the Greatest Prime Factor
SUFFICIENT

Answer [spoiler]{B}[/spoiler]
R A H U L
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
GMAT Instructor
Posts: 2630
Joined: Wed Sep 12, 2012 3:32 pmFollowed by: 119 members
Location: East Bay all the way
Thanked: 625 times
GMAT Score:780

by Matt@VeritasPrep » Thu Dec 12, 2013 5:24 pm
Just to follow up on Rahul's remark, the key concept here is that the LCM of two numbers will always contain the unique prime factors of each of those numbers (and NO other prime factors).

For instance, say I want the LCM of 14 and 30. Since the LCM has to divide by 14, it has to divide by 2 * 7. Since the LCM has to divide by 30, it has to divide by 2 * 3 * 5. So the LCM is 2 * 3 * 5 * 7, and the greatest prime factor (7) is the greatest prime factor found in either 14 or 30.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1