I am currently researching RSA crypto and brute-forcing keys and read about the factoring-problem. There is an increasing difficulty with factorizing numbers of an increasing value, especially when it comes to primes, and this is one of the reasons to why RSA keys are impossible to brute-force.
Not completely unrelated, I was just wondering if I could brute-force factors of specific numbers using my regular computer that I have for personal use. I would like to measure the time it takes to facorize the numbers and how time changes as the numbers grow. Is there a program to download which can do so (facotrize the numbers that is, not neccesary with the time measuring part)? If not then why is it not possible?