Looking on the internet deeply has found these results:

I go to work by car is the most popular phrase on the web.

I drive my car to work 154,500 results on the web	I go to work by car 159,200 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Neither one of you can drive my car. I told him he could drive my car. This morning he drives his car to work. I had to push my car to work this morning! If you were going to work today to a factory that you owned to lay off ALL of the staff... my car would not be the car to make that journey in. I drove her car to work, and I left my car in the driveway. I'm just wondering how I managedto drive my car off a bridge. Tom drives his car to work every day.	I get up every morning, I go to work. You know what time I go to work. Every morning, I go to work by tube. As a rule, their drivers are workers who are obliged to travel to work by car every day because no other options are available. Go Man Seok, because he was on vacation yesterday, didn't go to work at the car center and isn't at home. Now, recent figures have shown that 71% of people across the UK still commute by car, and more people go to work by walking or by bicycle than they do, by train. Good, that way we can sleep before I go to work. Every day, I go to work and do my job.

I drive my car to work

154,500 results on the web

I go to work by car

159,200 results on the web

More popular!

Neither one of you can drive my car.
I told him he could drive my car.
This morning he drives his car to work.
I had to push my car to work this morning!
If you were going to work today to a factory that you owned to lay off ALL of the staff... my car would not be the car to make that journey in.
I drove her car to work, and I left my car in the driveway.
I'm just wondering how I managedto drive my car off a bridge.
Tom drives his car to work every day.

I get up every morning, I go to work.
You know what time I go to work.
Every morning, I go to work by tube.
As a rule, their drivers are workers who are obliged to travel to work by car every day because no other options are available.
Go Man Seok, because he was on vacation yesterday, didn't go to work at the car center and isn't at home.
Now, recent figures have shown that 71% of people across the UK still commute by car, and more people go to work by walking or by bicycle than they do, by train.
Good, that way we can sleep before I go to work.
Every day, I go to work and do my job.