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GCF and LCM of 9

Every pair this site works through that contains 9. 17 of them share a factor with it; 13 share nothing, which is its own kind of answer.

Shares a factor with 9

Shares nothing with 9

What 9 is made of

Every common factor 9 can share with anything comes from this list, which is why the pairs below look the way they do. 9 = 3², and that factorisation is unique — the fundamental theorem of arithmetic guarantees no other set of primes multiplies to it.

Divisors (3)
1, 3, 9
As factor pairs
1×9, 3×3
Prime factorisation
3²
Divisors excluding itself add to
4 — deficient

9 is a perfect square, so it has an odd number of divisors — the square root pairs with itself. The greatest common factor of 9 and any other number is the largest entry two lists like this one share.

Other numbers

Sources