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If you have factory reset your laptop you will have removed anything that the scammers managed to put on it and it should be safe to use.
As a precaution you should change any passwords for Banking and Internet accounts that you may have. I would also advise your bank so that they can watch your account for any strange activity.
Because you did allow them access you will possibly be re-contacted by the scammers who will try to get you to allow them access to your computer again.
Obviously you will not do that. You should be aware that BT, Openreach your Bank etc will never contact you unsolicited and ask for access to your computer or advise you that it has been compromised.
If you are in any doubt about the authenticity of a caller just hang up and call the company directly on a number you have sourced to check if it is a genuine call.