Let me give you an example.
I'm renting a place that when I started renting it was worth £320k. I pay £1200 a month in rent. If I'm lucky enough to get a 6% mortgage on a similar place, over 25 years, I would be paying £2086 a month. That's a difference of £886 a month.
If I put that £886 a month into a high interest savings account (lets say I can get 5.5%), with compound interest after 25 years that money will have amounted to around £650k. Obviously in real terms my money isn't
worth £650k because of inflation (but then neither is the house you bought).
It's practically equivalent to putting that extra money into a mortgage on a house... except I'm not tied down.
Obviously, the advantages of having your own house are numerous too - you can do what you want to the property for a start, no annoying landlords etc..!