So I'm more a little than annoyed by the ignorance of my peers. The topic is so middle school--prime factorization, gcd, and lcm. The point that I was trying to make was that prime factorization in order to calculate the gcd is stupid, especially since you already have the two numbers in question, so you had better use the fucking Euclidean algorithm. Prime factorization is in practice difficult, of course, and there are many cases, even in asking whether certain numbers are prime, where we are not looking for prime factors, but any factors. I mean, it's just getting old, teachers not knowing anything: It's all well and good that you tell your students about Mersenne primes, but why is it that none of them can actually explain why they must be of form 2^p-1 and not something else? Why are we still subjected to this fucking cake method, whereas the Euclidean algorithm actually has deeper intuitive applications? and let's not even get started with all of the other questions about primality testing by raising 2 to the N-1 power, etc, etc. I mean, it's just troubling, and it's frustrating that so many teachers are satisfied when students are merely excited, rather than probing and understanding.