设（f(x)，g(x)）=d(x)，d(x)|f(x),d(x)|g(x),(d(x))^n | (f(x))^n，(d(x))^n | (g(x))^n任给 m(x)为f(x)的因式，则 m(x)|d(x).m^n(x)|f^n(x). 推出 m^n(x)|d^n(x). 有m(x)任意性知 （f^n(x)，g^n(x)）=(d(x))^n；
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