diff --git a/library/math/prime_sieve/get_prime_factors.hpp b/library/math/prime_sieve/get_prime_factors.hpp
index 1e728e50..7ea9284b 100644
--- a/library/math/prime_sieve/get_prime_factors.hpp
+++ b/library/math/prime_sieve/get_prime_factors.hpp
@@ -1,7 +1,6 @@
 #pragma once
 #include "calc_sieve.hpp"
-//! `fac` will equal all prime factors of num, increasing
+//! `p` will be all prime factors of num, increasing
 //! @time O(log(num))
 //! @space O(1)
-for (int left = num, fac = sieve[left]; left > 1;
-     fac = sieve[left /= fac])
+for (int cpy = num, p; (p = sieve[cpy]) > 1; cpy /= p) 
\ No newline at end of file