The GCF of 13 and 14 is 1. The LCM of 13 and 14 is 182.
13 and 14 share no common factor except 1, so they are coprime (relatively prime). When two numbers are coprime their LCM is simply their product: 13 × 14 = 182.
Factors of 13: 1, 13.
Factors of 14: 1, 2, 7, 14.
Common factors: 1. The greatest of these is 1.
13 = 13 (prime)
14 = 2 × 7
GCF: multiply the prime factors both numbers share: there are none, so the GCF is 1.
LCM: multiply every prime the maximum number of times it appears in either number: 2 × 7 × 13 = 182.
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 1, so GCF(13, 14) = 1.
Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, ...
Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, ...
The first number in both lists is 182.
1 × 182 = 182 = 13 × 14. This always holds for two numbers, so you can find the LCM as (13 × 14) ÷ 1 = 182.
13/14 is already in lowest terms because the GCF of 13 and 14 is 1.
| Numbers | GCF | LCM |
|---|---|---|
| 2 and 13 | 1 | 26 |
| 3 and 13 | 1 | 39 |
| 4 and 13 | 1 | 52 |
| 5 and 13 | 1 | 65 |
| 6 and 13 | 1 | 78 |
| 7 and 13 | 1 | 91 |
| 2 and 14 | 2 | 14 |
| 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 |
See also: factors of 13 · factors of 14 · 13/14 as a decimal.
Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.