The GCF of 2 and 4 is 2. The LCM of 2 and 4 is 4.
Factors of 2: 1, 2.
Factors of 4: 1, 2, 4.
Common factors: 1 and 2. The greatest of these is 2.
2 = 2 (prime)
4 = 2 × 2
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 = 4.
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, 4) = 2.
Multiples of 2: 2, 4, 6, ...
Multiples of 4: 4, 8, ...
The first number in both lists is 4.
2 × 4 = 8 = 2 × 4. This always holds for two numbers, so you can find the LCM as (2 × 4) ÷ 2 = 4.
Divide the top and bottom by the GCF 2: 2/4 = 1/2.
| Numbers | GCF | LCM |
|---|---|---|
| 2 and 3 | 1 | 6 |
| 2 and 5 | 1 | 10 |
| 2 and 6 | 2 | 6 |
| 2 and 7 | 1 | 14 |
| 2 and 8 | 2 | 8 |
| 2 and 9 | 1 | 18 |
| 3 and 4 | 1 | 12 |
| 4 and 5 | 1 | 20 |
| 4 and 6 | 2 | 12 |
| 4 and 7 | 1 | 28 |
| 4 and 8 | 4 | 8 |
| 4 and 9 | 1 | 36 |
See also: factors of 2 · factors of 4 · 2/4 as a decimal.
Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.