Dachau, if I remember right, was not the biggest concentration camp, just the first. I agree with you, it was sobering to be right there, in front of the ovens.
Do you recall seeing the words written in, I seem to remember, English, French, German and Russian, "Never Again?" Yes, very sobering.
There are two terms that I continue to use in certain situations, though I rarely get a reaction anymore. There is such a dearth of knowledge of history today. The terms are:Nie wieder (Never Again) and Arbeit Macht Frei (Work Sets You Free). I use those terms to offer sharp rebukes to liberal "friends" who suffer from guilt for simply being Americans.
It's not just the ovens, though they are jarring to the sight. I particularly remember walking by a neatly landscaped area with lovely flowers, and seeing a small sign that said "the ashes of 50,000 Jews are buried here."