Gone must always be preceded by 1 of the 23 auxiliary (or helping) verbs (are, was, were, have, and others).
Went never takes an auxiliary (or helping) verb.
- I should have gone to college when I had the chance.
- I went to college immediately after high school.
Note: The 23 auxiliary (or helping) verbs are: am, are, be, being, been, can, could, did, do, does, had, has, have, is, may, might, must, shall, should, was, were, will, and would.