I'm socially awkward, how do I greet coworkers?

When I go to work I find it difficult to greet my coworkers when they're talking, and my coworkers talk a lot. I don't want to disturb them, so I don't say anything and let them speak. After that I don't find it necessary to greet them, because we've already seen each other. I don't do it to troll them or because I hate them and it baffles me that people can take that personally and feel attacked.

Another thing I don't understand is why people cannot simply work fast and then relax and talk. I do that and my pauses are longer. I don't understand why people prefer to work a bit and then gossip. I find that very tiring. I need structure.

Coworkers think I'm a loner, nothing wrong with that, I like being alone, but sometimes I wonder if I'm a bit autistic.

Leaving my current position is not feasible, it would mean taking a considerable pay cut.

I don't want to pretend something I'm not. I don't drink alcohol or coffee and don't smoke. I'm not gonna start doing that just to be a bit more popular.