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* [[Pollard's rho algorithm|Pollard's rho]]
* [[Pollard's p − 1 algorithm|''p'' − 1]]
* [[Williams's p + 1 algorithm|''p'' + 1]]
* [[Quadratic sieve|Quadratic sieve (QS)]]
* [[General number field sieve|General number field sieve (GNFS)]]
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* [[Rational sieve]]
* [[Fermat's factorization method|Fermat's]]
* [[Shanks's square forms factorization|Shanks's square forms]]
* [[Trial division]]
* [[Shor's algorithm|Shor's]]
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