The GCF of 2 and 14 is 2. The LCM of 2 and 14 is 14.
Factors of 2: 1, 2.
Factors of 14: 1, 2, 7, 14.
Common factors: 1 and 2. The greatest of these is 2.
2 = 2 (prime)
14 = 2 × 7
GCF: multiply the prime factors both numbers share: 2 = 2.
LCM: multiply every prime the maximum number of times it appears in either number: 2 × 7 = 14.
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 2, so GCF(2, 14) = 2.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, ...
Multiples of 14: 14, 28, ...
The first number in both lists is 14.
2 × 14 = 28 = 2 × 14. This always holds for two numbers, so you can find the LCM as (2 × 14) ÷ 2 = 14.
Divide the top and bottom by the GCF 2: 2/14 = 1/7.
| Numbers | GCF | LCM |
|---|---|---|
| 2 and 3 | 1 | 6 |
| 2 and 4 | 2 | 4 |
| 2 and 5 | 1 | 10 |
| 2 and 6 | 2 | 6 |
| 2 and 7 | 1 | 14 |
| 2 and 8 | 2 | 8 |
| 3 and 14 | 1 | 42 |
| 4 and 14 | 2 | 28 |
| 5 and 14 | 1 | 70 |
| 6 and 14 | 2 | 42 |
| 7 and 14 | 7 | 14 |
| 8 and 14 | 2 | 56 |
See also: factors of 2 · factors of 14 · 2/14 as a decimal.
Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.