Salvaging Google Authenticator data from water damaged LG G5

I have an LG G5 that has water damage as well as a cracked screen. There is no guarantee that the water damage can be fixed. However, I have an app called Google Authenticator on that phone, and I need to transfer the app to my new phone that I will get. I am thinking of getting a new LG G5, and I will use the same google account, would it then be possible to get my google authenticator app on the new phone aswell? Is there anyway to get my google authenticator from 1 phone to the other?