Hydrolyzes a variety of simple alpha-D-galactoside as well as more complex molecules such as oligosaccharides and polysaccharides (By similarity). Not active on paranitrophenyl-alpha-galactoside and raffinose. Hydrolysis of terminal, non-reducing alpha-D-galactose residues in alpha-D-galactosides, including galactose oligosaccharides, galactomannans and galactolipids. Homotetramer. Belongs to the glycosyl hydrolase 36 family.