GCF and LCM of 120
Every pair this site works through that contains 120. 32 of them share a factor with it; 0 share nothing, which is its own kind of answer.
Shares a factor with 120
with 2: 2with 3: 3with 4: 4with 5: 5with 6: 6with 8: 8with 9: 3with 10: 10with 12: 12with 14: 2with 15: 15with 16: 8with 18: 6with 20: 20with 24: 24with 25: 5with 27: 3with 30: 30with 32: 8with 36: 12with 40: 40with 45: 15with 48: 24with 50: 10with 60: 60with 64: 8with 72: 24with 75: 15with 80: 40with 90: 30with 96: 24with 100: 20
What 120 is made of
Every common factor 120 can share with anything comes from this list, which is why the pairs below look the way they do. 120 = 2³ × 3 × 5, and that factorisation is unique — the fundamental theorem of arithmetic guarantees no other set of primes multiplies to it.
- Divisors (16)
- 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
- As factor pairs
- 1×120, 2×60, 3×40, 4×30, 5×24, 6×20, 8×15, 10×12
- Prime factorisation
- 2³ × 3 × 5
- Divisors excluding itself add to
- 240 — abundant
Divisors come in pairs that multiply to 120, which is why there is an even number of them unless the number is a perfect square. The greatest common factor of 120 and any other number is the largest entry two lists like this one share.