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GCF and LCM of 100

Every pair this site works through that contains 100. 29 of them share a factor with it; 0 share nothing, which is its own kind of answer.

Shares a factor with 100

What 100 is made of

Every common factor 100 can share with anything comes from this list, which is why the pairs below look the way they do. 100 = 2² × 5², and that factorisation is unique — the fundamental theorem of arithmetic guarantees no other set of primes multiplies to it.

Divisors (9)
1, 2, 4, 5, 10, 20, 25, 50, 100
As factor pairs
1×100, 2×50, 4×25, 5×20, 10×10
Prime factorisation
2² × 5²
Divisors excluding itself add to
117 — abundant

100 is a perfect square, so it has an odd number of divisors — the square root pairs with itself. The greatest common factor of 100 and any other number is the largest entry two lists like this one share.

Other numbers

Sources