I get a factor of $5551$, this is the number I want to investigate. Wolfrom alpha, online mathematics page, shows that this number also divdes $74^3-1$. See, bottom of the page: http://www.wolframalpha.com/input/?i=5551
This makes no sense, what is the significace behind this. Clearly $74^3-1$ is not the only number $5551$ can divide, since I can multiply any factor to it $x\cdot 5551 = Y$, then $Y/5551$ would divide it.
But what is the significance putting $74^3-1$ , $-1$, in it, why is it there, this might have a deeper explanation.
Note that $$ a^3 -b^3 = (a-b)(a^2 + ab +b^2)$$
With $a =74$ and $b=1$ we get $$ 74^3-1 = (73)(74^2+74+1) = (73)(5551)$$
Wolfram Alpha tries to give you as much information as it can, and you pick what you need form it.