The GCF of 10 and 14 is 2. The LCM of 10 and 14 is 70.
Factors of 10: 1, 2, 5, 10.
Factors of 14: 1, 2, 7, 14.
Common factors: 1 and 2. The greatest of these is 2.
10 = 2 × 5
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 × 5 × 7 = 70.
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(10, 14) = 2.
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, ...
Multiples of 14: 14, 28, 42, 56, 70, 84, ...
The first number in both lists is 70.
2 × 70 = 140 = 10 × 14. This always holds for two numbers, so you can find the LCM as (10 × 14) ÷ 2 = 70.
Divide the top and bottom by the GCF 2: 10/14 = 5/7.
| Numbers | GCF | LCM |
|---|---|---|
| 2 and 10 | 2 | 10 |
| 3 and 10 | 1 | 30 |
| 4 and 10 | 2 | 20 |
| 5 and 10 | 5 | 10 |
| 6 and 10 | 2 | 30 |
| 7 and 10 | 1 | 70 |
| 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 10 · factors of 14 · 10/14 as a decimal.
Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.