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Greatest prime factor - GMATPrep

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AleksandrM: Legendary Member; Posts: 566; Joined: Fri Jan 04, 2008 11:01 am; Location: Philadelphia; Thanked: 31 times; GMAT Score:640

by AleksandrM » Sun Jul 13, 2008 4:34 pm

https://second-lap.blocked/

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Source: Beat The GMAT — Problem Solving | Sun Jul 13, 2008 4:34 pm

lightbulb: Senior | Next Rank: 100 Posts; Posts: 34; Joined: Wed Jul 09, 2008 6:40 pm; Thanked: 3 times

by lightbulb » Sun Jul 13, 2008 4:39 pm

4^17 - 2^28
= (2^2)^17 - 2^28
= 2^34 - 2^28
= 2^28(2^6 - 1)
= 2^28(63)

Greatest number that divides 63 is 7

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