Company H distributed $4,000 and 180 pencils evenly among its employees, with each employee getting an equal integer This topic has expert replies Moderator Posts: 7106 Joined: Thu Sep 07, 2017 4:43 pm Followed by:23 members Company H distributed$4,000 and 180 pencils evenly among its employees, with each employee getting an equal integer

by BTGmoderatorDC » Mon Jul 11, 2022 11:19 pm

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Company H distributed $4,000 and 180 pencils evenly among its employees, with each employee getting an equal integer number of dollars and an equal integer number of pencils. What is the greatest number of employees that could work for company H? (A) 9 (B) 10 (C) 20 (D) 40 (E) 180 OA C Source: Manhattan Prep GMAT/MBA Expert GMAT Instructor Posts: 6797 Joined: Sat Apr 25, 2015 10:56 am Location: Los Angeles, CA Thanked: 43 times Followed by:29 members Re: Company H distributed$4,000 and 180 pencils evenly among its employees, with each employee getting an equal integer

by [email protected] » Thu Feb 02, 2023 12:00 pm
BTGmoderatorDC wrote:
Mon Jul 11, 2022 11:19 pm
Company H distributed \$4,000 and 180 pencils evenly among its employees, with each employee getting an equal integer number of dollars and an equal integer number of pencils. What is the greatest number of employees that could work for company H?

(A) 9
(B) 10
(C) 20
(D) 40
(E) 180

OA C

Source: Manhattan Prep
We need to determine the greatest common factor of 4,000 and 180.

Since 4,000 and 180 are divisible by 20 but not 40 nor 180 ,we see that the greatest common factor of 4,000 and 180 is 20.