Last visit was: 18 Dec 2024, 07:59 It is currently 18 Dec 2024, 07:59
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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
PREVIOUS TOPIC
NEXT TOPIC

The greatest common factor (GCF) of 48 and 72 is

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

avatar
Bunuel
Senior Manager
Senior Manager
Joined: 20 May 2014
Posts: 285
Own Kudos [?]: 720 [1]
Given Kudos: 225
The greatest common factor (GCF) of 48 and 72 is [#permalink] New post   26 Nov 2017, 09:12
1
Bookmarks
00:00

Question Stats:

80% (00:45) correct 19% (01:04) wrong based on 36 sessions

Hide Show timer Statistics

The greatest common factor (GCF) of 48 and 72 is

A. 4
B. 6
C. 12
D. 24
E. 48

Kudos for correct solution.
ShowHide Answer
Official Answer
D
avatar
pranab223
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2280 [0]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM

Top Member of the Month
Re: The greatest common factor (GCF) of 48 and 72 is [#permalink] New post   30 Nov 2017, 06:21
Bunuel wrote:
The greatest common factor (GCF) of 48 and 72 is

A. 4
B. 6
C. 12
D. 24
E. 48




48 can be written as = \(2^4 X 3\)

72 can be written as = \(2^3 X 3^2\)

Therefore GCF = \(2^3 X 3 = 24\)
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30355
Own Kudos [?]: 36751 [0]
Given Kudos: 26080
Send PM
The greatest common factor (GCF) of 48 and 72 is [#permalink] New post   27 Oct 2018, 16:21
Expert Reply
The greatest common factor (GCF) of 48 and 72 is

A. 4

B. 6

C. 12

D. 24

E. 48
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30355
Own Kudos [?]: 36751 [0]
Given Kudos: 26080
Send PM
Re: The greatest common factor (GCF) of 48 and 72 is [#permalink] New post   10 Apr 2020, 16:12
Expert Reply
The factors of 48 are 1,2,3,4,6,8,12,16,24,48;

The factors of 72 are 1,2,3,4,6,8,9,12,18,24,36,72.

So, as we can see, the Greatest Common Factor or Divisor is 24, because it is the greatest number that divides evenly into all of them.

D is the answer
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12226 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: The greatest common factor (GCF) of 48 and 72 is [#permalink] New post   26 Apr 2020, 17:05
2
Carcass wrote:
The greatest common factor (GCF) of 48 and 72 is

A. 4
B. 6
C. 12
D. 24
E. 48


48 = (2)(2)(2)(2)(3)
72 = (2)(2)(2)(3)(3)

Prime factors in common = (2)(2)(2)(3) = 24

Answer: D

Cheers,
Brent
User avatar
G
BrushMyQuant
Moderator
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1115
Own Kudos [?]: 974 [1]
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Send PM
The greatest common factor (GCF) of 48 and 72 is [#permalink] New post   27 Oct 2022, 11:25
1
We need to find The greatest common factor (GCF) of 48 and 72

Lets solve it using two methods

Method 1: Prime Factorization

48 = 3*16 = \(2^4 * 3^1\)
72 = 8*9 = \(2^3 * 3^2\)

To find the GCF take all the common terms and take their lowest power in all of the above.

=> GCF(48,72) = \(2^3 * 3^1\) = 24

So, Answer will be D

Method 2: Common Division Method

4 | 48, 72
-----------
6 | 12 , 18
------------
__| 2, 3

=> GCF = Product of Common factors = 4*6 = 24

So, Answer will be D
Hope it helps!

To learn more about LCM and GCD watch the following videos



avatar
B
dannythor6911
Intern
Intern
Joined: 21 Jan 2021
Posts: 23
Own Kudos [?]: 6 [0]
Given Kudos: 0
Send PM
Re: The greatest common factor (GCF) of 48 and 72 is [#permalink] New post   03 Jun 2024, 12:15
GCF is just the primes shared by the two numbers:

Prep Club for GRE Bot
gmatclubot
Re: The greatest common factor (GCF) of 48 and 72 is [#permalink]
03 Jun 2024, 12:15
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1115 posts
VibhuAnurag
GRE Instructor
234 posts

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

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact