What is the difference between await Task<T> and Task<T>.Result?

I wont be wrong if I think that await will release the calling thread but Task.Result will block it, would it be right?

Generally, yes. await task; will "yield" the current thread. task.Result will block the current thread. await is an asynchronous wait; Result is a blocking wait.

There's another more minor difference: if the task completes in a faulted state (i.e., with an exception), then await will (re-)raise that exception as-is, but Result will wrap the exception in an AggregateException.

As a side note, avoid Task.Factory.StartNew. It's almost never the correct method to use. If you need to execute work on a background thread, prefer Task.Run.

Both Result and StartNew are appropriate if you are doing dynamic task parallelism; otherwise, they should be avoided. Neither is appropriate if you are doing asynchronous programming.

I wont be wrong if I think that await will release the calling thread but Task.Result will block it, would it be right?

You're correct, as long as the task hasn't completed synchronously. If it did, using either Task.Result or await task will execute synchronously, as await will first check if the task has completed. Otherwise, if the task hasn't completed, it will block the calling thread for Task.Result, while using await will asynchronously wait for the tasks completion. Another thing that differs is exception handling. While the former will propagate an AggregationException (which may contain one or more exceptions), the latter will unwrap it and return the underlying exception.

As a side note, using asynchronous wrappers over sync methods is bad practice and should be avoided. Also, using Task.Result inside an async method is a cause for deadlocks and should also be avoided.