Solving the Greatest Common Factor of One variable Polynomials with Resultant Matrix

By applying the property of resultant matrix and resultant polynomials and introducing to concepts of resultant minimum polynomials etc.the relations among resultant matrix,resultant polynomials and the greatest common factor of one variable polynomials to be solved are studied. A new method to solve the greatest common factor of one variable polynomials is proposed.Only the resultant matrix is needed to solve the greatest common factor of polynomials in this method.