GCF and LCM of 90
Every pair this site works through that contains 90. 32 of them share a factor with it; 0 share nothing, which is its own kind of answer.
Shares a factor with 90
with 2: 2with 3: 3with 4: 2with 5: 5with 6: 6with 8: 2with 9: 9with 10: 10with 12: 6with 14: 2with 15: 15with 16: 2with 18: 18with 20: 10with 24: 6with 25: 5with 27: 9with 30: 30with 32: 2with 36: 18with 40: 10with 45: 45with 48: 6with 50: 10with 60: 30with 64: 2with 72: 18with 75: 15with 80: 10with 96: 6with 100: 10with 120: 30
What 90 is made of
Every common factor 90 can share with anything comes from this list, which is why the pairs below look the way they do. 90 = 2 × 3² × 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, 5, 6, 9, 10, 15, 18, 30, 45, 90
- As factor pairs
- 1×90, 2×45, 3×30, 5×18, 6×15, 9×10
- Prime factorisation
- 2 × 3² × 5
- Divisors excluding itself add to
- 144 — abundant
Divisors come in pairs that multiply to 90, which is why there is an even number of them unless the number is a perfect square. The greatest common factor of 90 and any other number is the largest entry two lists like this one share.