It is certainly possible to be tested to find out which genotype you have, and it's actually a good idea to find out because different types best respond to different treatment. For example, genotype 1 is generally more difficult to treat and people with this genotype have less than a 50% chance of clearing the hepatitis C virus. However, people with genotype 2 or 3 have greater than a 50% chance of clearing the virus. Those who have these genotypes respond up to 2 times better with Interferon and Ribavirin therapy than those with genotype 1 infection.
Another interesting part of genotypes is that they seem to be distributed geographically. Genotype 1a is most common in the United States, but genotype 1b is most common in Europe. Genotype 4 is most common in the Middle East.
Sources:
Berenguer M, Wright TL. Hepatitis C. In: M Feldman, LS Friedman, LJ Brandt (eds), Gastrointestinal and Liver Disease, 8e. Philadelphia, Elsevier, 2006. 1684.
Massachusetts Department of Public Health. 2002. Hepatitis C Testing and Diagnosis.
US Department of Verterans Affairs. February 2, 2007. Understanding Lab Tests.

