There are 3 train companies operating 4 routes - ICE25, IC26, AZ1385, 613. The cheapest train costs $36 and is 3h 21min.
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There are 3 ways to travel from Göttingen to Wurzburg. 4 buses, 1 train and 1 by car are possible between the two areas. The by car from Göttingen to Wurzburg is the cheapest. The train from Göttingen to Rottendorf is the fastest. The train operated by DB Autozug running from Göttingen to Würzburg Süd is the most convenient.
It's important to check each mode when booking your ticket so that you can find the best method for you. The cost of each type varies differently, so be sure to use Faretrotter to keep an eye out!