In American English, "farther" is differentiated from "father" by the middle R, but I am talking about the British English in which the R's are only pronounced before vowels because so many "British English" varieties do pronounce the R.
I checked the pronunciations of the word "father" and "farther" in some dictionaries and they suggest that they are pronounced the same.
Cambridge Dictionary gives /ˈfɑː.ðə/ for both "father" and "farther" in British English pronunciation. Also I can't differentiate between both of them when I listen to Cambridge pronunciations.
Do British people pronounce them exactly the same?