Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
GMAT Club

 It is currently 25 Mar 2017, 01:09

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the greatest prime factor of 2^100 2^96 ? A.

Author Message
Director
Joined: 15 Aug 2005
Posts: 798
Location: Singapore
Followers: 2

Kudos [?]: 56 [0], given: 0

What is the greatest prime factor of 2^100 2^96 ? A. [#permalink]

### Show Tags

09 Oct 2005, 01:51
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the greatest prime factor of 2^100 â€“ 2^96 ?

A. 2

B. 3

C. 5

D. 7

E. 11

_________________

Cheers, Rahul.

Intern
Joined: 01 Oct 2005
Posts: 31
Followers: 0

Kudos [?]: 0 [0], given: 0

### Show Tags

09 Oct 2005, 03:38
2^100 - 2^96 = (2^4)*(2^96) - (2^0)*(2^96)
= (16-1)*(2^96)
= 15 * 2^96
= 3*5*2^96

The prime factors are 2,3,5 and the greatest prime is 5.
Director
Joined: 21 Aug 2005
Posts: 791
Followers: 2

Kudos [?]: 25 [0], given: 0

### Show Tags

09 Oct 2005, 12:00
2^100 - 2^96 = 2^96(2^4 - 1) = 2^96(5*3)

So the greatest prime factor is 5
09 Oct 2005, 12:00
Display posts from previous: Sort by