GCF and LCM of 12
Every pair this site works through that contains 12. 30 of them share a factor with it; 6 share nothing, which is its own kind of answer.
Shares a factor with 12
with 2: 2with 3: 3with 4: 4with 6: 6with 8: 4with 9: 3with 10: 2with 14: 2with 15: 3with 16: 4with 18: 6with 20: 4with 24: 12with 27: 3with 30: 6with 32: 4with 36: 12with 40: 4with 45: 3with 48: 12with 50: 2with 60: 12with 64: 4with 72: 12with 75: 3with 80: 4with 90: 6with 96: 12with 100: 4with 120: 12
Shares nothing with 12
What 12 is made of
Every common factor 12 can share with anything comes from this list, which is why the pairs below look the way they do. 12 = 2² × 3, and that factorisation is unique — the fundamental theorem of arithmetic guarantees no other set of primes multiplies to it.
- Divisors (6)
- 1, 2, 3, 4, 6, 12
- As factor pairs
- 1×12, 2×6, 3×4
- Prime factorisation
- 2² × 3
- Divisors excluding itself add to
- 16 — abundant
Divisors come in pairs that multiply to 12, which is why there is an even number of them unless the number is a perfect square. The greatest common factor of 12 and any other number is the largest entry two lists like this one share.