The GCF of 13 and 26 is 13. The LCM of 13 and 26 is 26.
Factors of 13: 1, 13.
Factors of 26: 1, 2, 13, 26.
Common factors: 1 and 13. The greatest of these is 13.
13 = 13 (prime)
26 = 2 × 13
GCF: multiply the prime factors both numbers share: 13 = 13.
LCM: multiply every prime the maximum number of times it appears in either number: 2 × 13 = 26.
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 13, so GCF(13, 26) = 13.
Multiples of 13: 13, 26, 39, ...
Multiples of 26: 26, 52, ...
The first number in both lists is 26.
13 × 26 = 338 = 13 × 26. This always holds for two numbers, so you can find the LCM as (13 × 26) ÷ 13 = 26.
Divide the top and bottom by the GCF 13: 13/26 = 1/2.
| 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 26 | 2 | 26 |
| 3 and 26 | 1 | 78 |
| 4 and 26 | 2 | 52 |
| 5 and 26 | 1 | 130 |
| 6 and 26 | 2 | 78 |
| 7 and 26 | 1 | 182 |
See also: factors of 13 · factors of 26.
Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.