Ready to satisfy that sweet tooth without an ounce of guilt? Read on for the ultimate guide to whipping up 5-Minute Healthy Greek Frozen Yogurt, no ice cream machine required! ...you can use full-fat Greek yogurt or any percentage of fat, however the more fat, the creamier the frozen yogurt will be. This Greek frozen yogurt will last up to 1 month when stored properly in an airtight container in the freezer.