The GCF of 4 and 14 is 2. The LCM of 4 and 14 is 28.
Factors of 4: 1, 2, 4.
Factors of 14: 1, 2, 7, 14.
Common factors: 1 and 2. The greatest of these is 2.
4 = 2 × 2
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 × 2 × 7 = 28.
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(4, 14) = 2.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, ...
Multiples of 14: 14, 28, 42, ...
The first number in both lists is 28.
2 × 28 = 56 = 4 × 14. This always holds for two numbers, so you can find the LCM as (4 × 14) ÷ 2 = 28.
Divide the top and bottom by the GCF 2: 4/14 = 2/7.
| Numbers | GCF | LCM |
|---|---|---|
| 2 and 4 | 2 | 4 |
| 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 |
| 2 and 14 | 2 | 14 |
| 3 and 14 | 1 | 42 |
| 5 and 14 | 1 | 70 |
| 6 and 14 | 2 | 42 |
| 7 and 14 | 7 | 14 |
| 8 and 14 | 2 | 56 |
See also: factors of 4 · factors of 14 · 4/14 as a decimal.
Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.