Romans 1:1-7

One phrase in today's devotional stuck out especially to me, and I've been turning it over in my mind, still not sure I understand it;

through whom we have recived grace and apostleship to bring about the obedience of faith among all the gentiles for the sake of his name...
--Romans 1:5

So, clearly we are the recipients of grace and apostleship for a specific purpose: to bring about the obedience of faith.

Does the last part mean obedience born of faith? Meaning we are obedient as a result of being faithful, e.g. to borrow from Acts 26: I should forgive because I believe I am forgiven by Jesus' sacrifice?

Or, does it mean that faith, in and of itself, is a form of obedience? Are there other obediences then, like the obedience of [other thing]...

Still churning and not sure what everythign means, but that's what stuck out to me today. :)