The GCF of 6 and 36 is 6. The LCM of 6 and 36 is 36.
Factors of 6: 1, 2, 3, 6.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Common factors: 1, 2, 3 and 6. The greatest of these is 6.
6 = 2 × 3
36 = 2 × 2 × 3 × 3
GCF: multiply the prime factors both numbers share: 2 × 3 = 6.
LCM: multiply every prime the maximum number of times it appears in either number: 2 × 2 × 3 × 3 = 36.
Divide the larger number by the smaller and repeat with the remainder until it is 0. The last non-zero remainder is the GCF.
The last non-zero remainder is 6, so GCF(6, 36) = 6.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...
Multiples of 36: 36, 72, ...
The first number in both lists is 36.
6 × 36 = 216 = 6 × 36. This always holds for two numbers, so you can find the LCM as (6 × 36) ÷ 6 = 36.
Divide the top and bottom by the GCF 6: 6/36 = 1/6.
| Numbers | GCF | LCM |
|---|---|---|
| 2 and 6 | 2 | 6 |
| 3 and 6 | 3 | 6 |
| 4 and 6 | 2 | 12 |
| 5 and 6 | 1 | 30 |
| 6 and 7 | 1 | 42 |
| 6 and 8 | 2 | 24 |
| 2 and 36 | 2 | 36 |
| 3 and 36 | 3 | 36 |
| 4 and 36 | 4 | 36 |
| 5 and 36 | 1 | 180 |
| 7 and 36 | 1 | 252 |
| 8 and 36 | 4 | 72 |
See also: factors of 6 · factors of 36.
Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.