The GCF of 8 and 26 is 2. The LCM of 8 and 26 is 104.
Factors of 8: 1, 2, 4, 8.
Factors of 26: 1, 2, 13, 26.
Common factors: 1 and 2. The greatest of these is 2.
8 = 2 × 2 × 2
26 = 2 × 13
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 × 2 × 2 × 13 = 104.
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(8, 26) = 2.
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, ...
Multiples of 26: 26, 52, 78, 104, 130, ...
The first number in both lists is 104.
2 × 104 = 208 = 8 × 26. This always holds for two numbers, so you can find the LCM as (8 × 26) ÷ 2 = 104.
Divide the top and bottom by the GCF 2: 8/26 = 4/13.
| Numbers | GCF | LCM |
|---|---|---|
| 2 and 8 | 2 | 8 |
| 3 and 8 | 1 | 24 |
| 4 and 8 | 4 | 8 |
| 5 and 8 | 1 | 40 |
| 6 and 8 | 2 | 24 |
| 7 and 8 | 1 | 56 |
| 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 8 · factors of 26.
Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.