Wool and linen
Like most people in Europe at the time, the Vikings used wool more than anything else for making clothes. The Vikings brought sheep with them to the islands they settled in the North Atlantic for wool and meat. "The Faeroe Islands" even means "the Sheep islands". Clothes were spun and woven by the women. They also dyed the cloth with mineral and vegetable dyes of red, green, brown, yellow or blue.
Linen was also used for clothes. Even today you can find Viking Age place names in Scandinavia like "Lin-åker" (lin= linen/flax, åker= field).
How they dressed
Both men and women wore fur or woolen hats and cloaks in cold weather. The cloaks were fastened at the shoulder with a brooch or a pin.