Factorization of power GCD matrices and power LCM matrices on certain gcd-closed sets

Guangyan Zhu, Yuanyuan Luo, Jixiang Wan

For integers $x$ and $y$, $(x,y)$ and $[x,y]$ stand for the greatest common divisor and the least common multiple of $x$ and $y$ respectively. Denote by $|T|$ the number of eleme…