What is the greatest common divisor of $11!$ and $10! - 1$?

factor(10!-1)

$${factor}{\left({\mathtt{10}}{!}{\mathtt{\,-\,}}{\mathtt{1}}\right)} = {\mathtt{29}}{\mathtt{\,\times\,}}{\mathtt{125\,131}}$$

$${factor}{\left({\mathtt{11}}{!}\right)} = {{\mathtt{2}}}^{{\mathtt{8}}}{\mathtt{\,\times\,}}{{\mathtt{3}}}^{{\mathtt{4}}}{\mathtt{\,\times\,}}{{\mathtt{5}}}^{{\mathtt{2}}}{\mathtt{\,\times\,}}{\mathtt{7}}{\mathtt{\,\times\,}}{\mathtt{11}}$$

These two numbers are realtively prime, the only factor that they have in common is 1

Hi Mellie

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