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