Final answer:
For a client with a factor VIII deficiency, typically due to hemophilia A, the nurse will likely administer cryoprecipitate, which is rich in clotting factors, including factor VIII.
Step-by-step explanation:
A client with a genetic bleeding deficiency involving a deficit in factor VIII is likely suffering from hemophilia A. The appropriate blood product for treating this condition is cryoprecipitate, which contains a concentration of clotting factors including factor VIII, fibrinogen, von Willebrand factor, and factor XIII. Therefore, the nurse will most likely administer cryoprecipitate to the patient with a factor VIII deficiency. Fresh frozen plasma contains all clotting factors, including factor VIII, which is deficient in the client. This blood product can help prevent bleeding in hemophiliac patients.