Disclosed are processes for producing high protein, Greek yogurt products. Such processes can include a step of concentrating a skim milk product to produce a protein-enriched milk fraction, which then can be combined with one or more additional milk fractions to form a yogurt base. The yogurt base is inoculated with a yogurt culture and fermented, and at least a portion of the acid whey is removed from the fermented product using a ceramic ultrafiltration membrane system to form the Greek yogurt product.