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A CO-ENZYME is a small organic non-protein MOLECULE that carries chemical groups between enzymes while a 

CO-FACTOR is a non-protein CHEMICAL COMPOUND that is bound tightly to an enzyme and is required for catalysis.
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Coenzymes =A coenzyme is an enzyme with a prosthetic group, a permanently bound member, that is organic.
cofactor=a cofactor, the permanently bound member is inorganic
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