An improved process for producing various types of cannabis extract from harvested cannabis wherein a quantity of harvested cannabis, which typically includes the inflorescence, floral leaves, and small stems of a flowering cannabis plants, is frozen and subjected to cryogenic grinding to produce pulverized cannabis. The pulverized cannabis is then subjected to alcohol extraction to produce an initial cannabis extract which is filtered to yield a remainder fraction and a filtrate. The remainder fraction potentiates the activity of cannabis formulations while the filtrate can be subjected to one of several forms of further processing according to the desired chemical profile of the final product.