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.

> I don't remember reading any Clarke short stories

Stop what you’re doing and read The Star.

Oh yeah, I remember that one! I forgot that Clarke wrote it.

The 9 billion names of God is very famous.

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)