Factorization algorithm to solve this system?

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What is the best factorization algorithm to solve this system? (Best is intended as more stable)

$$ AA^Tx = b $$

x, b vectors
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The matrix product $AA^T$ yields a symmetric and positive semi-definite matrix (assuming that $A$ is real), hence you can use a Cholesky factorization. However, I don't know for sure if this is the "best."