GCF and LCM of 60
Every pair this site works through that contains 60. 32 of them share a factor with it; 0 share nothing, which is its own kind of answer.
Shares a factor with 60
with 2: 2with 3: 3with 4: 4with 5: 5with 6: 6with 8: 4with 9: 3with 10: 10with 12: 12with 14: 2with 15: 15with 16: 4with 18: 6with 20: 20with 24: 12with 25: 5with 27: 3with 30: 30with 32: 4with 36: 12with 40: 20with 45: 15with 48: 12with 50: 10with 64: 4with 72: 12with 75: 15with 80: 20with 90: 30with 96: 12with 100: 20with 120: 60
What 60 is made of
Every common factor 60 can share with anything comes from this list, which is why the pairs below look the way they do. 60 = 2² × 3 × 5, and that factorisation is unique — the fundamental theorem of arithmetic guarantees no other set of primes multiplies to it.
- Divisors (12)
- 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
- As factor pairs
- 1×60, 2×30, 3×20, 4×15, 5×12, 6×10
- Prime factorisation
- 2² × 3 × 5
- Divisors excluding itself add to
- 108 — abundant
Divisors come in pairs that multiply to 60, which is why there is an even number of them unless the number is a perfect square. The greatest common factor of 60 and any other number is the largest entry two lists like this one share.