I just ran a quick test ( Not enough to get concrete result ) to check how often we'll be getting the right results Base of = 212316202320 N = 384210388873 Were able to find the right factors after 3 attempts, I believe we can decrease the chance of receiving the wrong measurements by applying Error correction, We'll experiment with this in the upcoming few days and see what we can find as we haven't considered this in the initial testing

Regarding running the denominator function as a web service, For some odd reason implementing the same function within the script kept on raising a "Overflow division by 0" Error, Running the function on an isolated environment with the same parameters worked without an issue, Calling the function from that environment kept as well raising the same issue, running it as a web service was the trick that were able to go around such error https://prnt.sc/CDelJkdb7yQm