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Factorization of Gauss integers

How do I find the factorization in prime elements of $20538 - 110334i$ in $\Bbb{Z}[i]$? I have found that $20538=2×3^2×7×163$ and $110334=2×3×7×2627$ but I don't know how to use this.
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Notation for indexing the factorizations of a number?

Background Given any $n \in \mathbb{N}$, the ordered factorization count of $n$ can be computed and is traditionally written $H(n)$. This is, essentially, the number of unique decompositions of $n$ ...
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