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GCF and LCM of 45

Every pair this site works through that contains 45. 25 of them share a factor with it; 0 share nothing, which is its own kind of answer.

Shares a factor with 45

What 45 is made of

Every common factor 45 can share with anything comes from this list, which is why the pairs below look the way they do. 45 = 3² × 5, and that factorisation is unique — the fundamental theorem of arithmetic guarantees no other set of primes multiplies to it.

Divisors (6)
1, 3, 5, 9, 15, 45
As factor pairs
1×45, 3×15, 5×9
Prime factorisation
3² × 5
Divisors excluding itself add to
33 — deficient

Divisors come in pairs that multiply to 45, which is why there is an even number of them unless the number is a perfect square. The greatest common factor of 45 and any other number is the largest entry two lists like this one share.

Other numbers

Sources