Of course, there are factory farms in Europe. Less than in the US, but on the rise and only getting worse https://www.greenpeace.org/eu-unit/issues/nature-food/1923/f...
Especially for things like chickens and pork, they are prevalent, but also for cows.
Of course, a large portion of European cattle is fed grain rations. Europe is literally covered with feed crops.
This argument that you hear a lot online as "it's a thing of the US" is just not true.