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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If x is the greatest common factor of 36 and 96, what is the ##### This topic has 3 expert replies and 0 member replies ### Top Member ## If x is the greatest common factor of 36 and 96, what is the ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult If x is the greatest common factor of 36 and 96, what is the sum of the digits of x? A. 2 B. 3 C. 4 D. 6 E. 9 OA B Source: Veritas Prep ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2444 messages Followed by: 18 members Upvotes: 43 Top Reply BTGmoderatorDC wrote: If x is the greatest common factor of 36 and 96, what is the sum of the digits of x? A. 2 B. 3 C. 4 D. 6 E. 9 36 = 2^2 x 3^2 96 = 48 x 2 = 8 x 6 x 2 = 2^5 x 3^1 The GCF is the product of the prime factors that both numbers have in common. So the GCF of 36 and 96 is 2^2 x 3^1 = 12 and the sum of the digits of 12 is 1 + 2 = 3. Answer: B _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12832 messages Followed by: 1247 members Upvotes: 5254 GMAT Score: 770 Top Reply BTGmoderatorDC wrote: If x is the greatest common factor of 36 and 96, what is the sum of the digits of x? A. 2 B. 3 C. 4 D. 6 E. 9 OA B Source: Veritas Prep Mitch's solution is the approach I'd take, but another way to answer this question is to simply LIST the factors of each value and then find the GREATEST factor they have in common. When listing factors, it's best to do so in pairs of values with a given product (either 36 or 96). Here's what I mean: Factors of 36 = {1, 36} = {1, 2, 18, 36} = {1, 2, 3, 12, 18, 36} = {1, 2, 3, 4, 9, 12, 18, 36} = {1, 2, 3, 4, 6, 9, 12, 18, 36} Following the same approach, we see that the factors of 96 are {1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96} When we examine both sets of factors, we see that the greatest common factor is 12 (i.e., x = 12) What is the sum of the digits of x? 1 + 2 = 3 Answer: B Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15257 messages Followed by: 1861 members Upvotes: 13060 GMAT Score: 790 BTGmoderatorDC wrote: If x is the greatest common factor of 36 and 96, what is the sum of the digits of x? A. 2 B. 3 C. 4 D. 6 E. 9 36 = 2*2*3*3 96 = 2*2*2*2*2*3 GCF = the product of the factors in blue = 2*2*3 = 12. Sum of the digits = 1+2 = 3. The correct answer is B. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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