There is substitute way for this method, You can turn off the 2FA security on the exchange since you can still access the Authenticator app in the old phone then request for a new 2FA key once you have new device that has Authenticator installed. It's advisable if the condition of the old phone was unstable because the old device might get broke anytime considering that you borrow your friends phone to access your exchange and you don't have new device.
You are correct, you can do that as long as you trust your friend (lol)
The method 2 is a great idea. I don't have any idea that I can access my authenticator data on my email that I used on my account.
Tbh I didn't know that either but my friend use a lot this way for recovering or store data from several (if not all) app's. So we try for Google Auth and it works.
You could totally import it from different phones when you have a new phone but if you lost your phone is a different story, I've searched on youtube last time what method I can do but you need to do it before you lost your phone, for example, Facebook, which have a backup could that you could use when you lost your google authenticator, etc.
As far as I know, if you lose your phone and you don't have your recovery 16-digit keys, then you can't do anything to recover them.
There are so many authenticators already that is getting recommended by a lot of users but I only know google but google still a good choice.
I check all the references from our fellow members and it seems that Aegis is for now the best, safest, and stronger (in the matter of choices/ options) Authenticator app. Ofc Goggle will always be Google, whatever that means to anyone...
Is it a new update from Google? Are every code save in your Gmail can be recovered or saved?
Idk if it's a new update but you can recover every single code/ account
if you have enabled as 2 Step Verification the Google Auth in your Google account.
It seems that my phone can't take screenshots from Google Auth for some reason. I get a message saying that the app doesn't permit screenshots...
That's new for sure!
If can someone verify this or can take some screenshots for Method 1 (without any information such e-mails on them), it will be appreciated.
. Not joking here because we have to depend on those things and if something goes wrong many times a lot of money could be lost or get stuck in a volatile market. 
