Greggs – Newmarket, High Street – Opening Hours & Store Details Greggs is currently positioned at 66/72 High Street, a 0.07 mile drive south-west from the centre of Newmarket (near The Guineas Bus Station). This store is situated properly to serve those from the areas of Crockfords Park, Carlton, Studlands Park, Newmarket Town Centre, Snailwell and Exning. Open hours today (Friday) are 6:30 am until 6:00 pm. This page will give you all the information you need about Greggs Newmarket, High Street, including the hours of business, location description, email address and additional details.