I don't remember reading any Clarke short stories, though I do remember a few books favorably - but Asimov's stories were incredible, and stick with me to this day. I should get a few more of his short story collections for the kiddo, I think I have a few of his non-fiction ones on a bookshelf somewhere.
brilliant stories both, but my two favourite asimov shorts are "profession" (I really, really love the trope that a regimented society depends on outcasts and outsiders for any sort of innovation) and "the martian way" (one of his more minor shorts, but it captures the joy and optimism of golden age solar system exploration fiction like nothing else I've read)
I did not know about this. Arthur C Clarke was indeed my favourite at that time (even now).
Asimov, however, killed it with his two goosebump-good shorts, Nightfall and Last Question.