I guess it's not uncommon to say "dialed the wrong number" in the States.
But, I'm not so sure there are any differences between "get" and "dial" in the context?
Here are my explanations.
You've got the wrong number --- the number I pressed 123-4567 and the number of the other party was 123-4567. So, I didn't dial the wrong number. It was
I suppose you could stretch the meanings in that way but it isn't necessarily so.
When you talk to someone on the phone, you have 'got' them on the phone. 'I've got Tracy on the phone' 'I can't get through to Brian' etc. When someone tells you you've got the wrong number it just means that you have got through to the wrong number/person. whether that is because you (or someone else) have
I agree completely with Nona. There's no difference between the expressions at all from the person who answers the "wrong number" unless the conversation continues.
If you are the caller, you may say "Oh, I'm so sorry. Can I confirm, did I dial 123-456-7890?"
You may hear "Yes, but there's no Alan here; you've got the wrong number."