What is the sum of all distinct prime factors of $6^{12}\cdot 49^2-2^{10}\cdot 3^{11}\cdot 7^4?$

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members; Thanked: 6 times

by Vincen » Sat Mar 06, 2021 11:23 pm

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What is the sum of all distinct prime factors of $6^{12}\cdot 49^2-2^{10}\cdot 3^{11}\cdot 7^4?$

A. 5
B. 9
C. 10
D. 12
E. 23

Answer: E

Source: GMAT Club Tests

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Source: Beat The GMAT — Problem Solving | Sat Mar 06, 2021 11:23 pm

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