It could also be Raynaud's Disease:

http://www.mayoclinic.org/diseases-conditions/raynauds-disease/basics/definition/con-20022916

I think I have a mild case as my hands and feet are always cold even if my core is sweating. A friend has it worse. One thing for the hands is to insulate the wrists. When I use a liner layer that has thumbholes, my wrists stay warm and therefore my hands stay warmer. Conversely, if my core starts to sweat, opening up my wrists will remove a fair amount of heat. The cold wrist also trigers vasoconstriction which makes the problem worse. Feet more or less work the same way.

Regards,
Bill