There are 2 train companies operating 5 routes - 354, ICE11, 353, 353, 320. The cheapest train costs $62 and is 6h 20min.
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There are 3 ways to travel from Goslar to Heilbronn. 4 buses, 1 train and 1 driving option are possible between the two areas. The driving option from Goslar to Heilbronn is the cheapest, quickest, and most convenient. The train operated by running from Goslar to Illingen 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!