Good idea, but no cigar.
$ perl -MMath::Gsl::Sf=:Gamma -e'print gamma(300)'
gsl: gamma.c:1111: ERROR: overflow
Default GSL error handler invoked.
Aborted (core dumped)
The GSL doesn't handle large numbers.
There's also a math error to correct: gamma($n) == factorial($n - 1)
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