Thank you for your question and welcome to our community!
France and Germany both signed the so-called Dublin III convention. It states that only one country is responsible for an asylum seekers application. That is the country where you first arrived within EU.
In your case there are two possible scenarios:
1) If you didn't apply for asylum in France yet and go to Germany in order to apply for the first time ever, it might be that Germany will give you an asylum proceeding. They will check back with the European database (EURODAC) that contains all fingerprints of refugees and asylum seekers that arrived in EU. If your fingerprint is on that list, they can trace back where you first entered EU (--> France). If you didn't get registered (hence they don't know where you came from within EU) then you can have your asylum process in Germany.
2) If you made an asylum application in France and go to Germany afterwards to apply a second time, you will most likely be send back. That doesn't mean that your application got rejected, but it's France's job to give you a fair process (and not Germany).
So basically it comes down to the question(s) if authorities took your fingerprint at some point (or not) and if you already applied for asylum in France (or not).