The GCF of 5 and 10 is 5. The LCM of 5 and 10 is 10.
Factors of 5: 1, 5.
Factors of 10: 1, 2, 5, 10.
Common factors: 1 and 5. The greatest of these is 5.
5 = 5 (prime)
10 = 2 × 5
GCF: multiply the prime factors both numbers share: 5 = 5.
LCM: multiply every prime the maximum number of times it appears in either number: 2 × 5 = 10.
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 5, so GCF(5, 10) = 5.
Multiples of 5: 5, 10, 15, ...
Multiples of 10: 10, 20, ...
The first number in both lists is 10.
5 × 10 = 50 = 5 × 10. This always holds for two numbers, so you can find the LCM as (5 × 10) ÷ 5 = 10.
Divide the top and bottom by the GCF 5: 5/10 = 1/2.
| Numbers | GCF | LCM |
|---|---|---|
| 2 and 5 | 1 | 10 |
| 3 and 5 | 1 | 15 |
| 4 and 5 | 1 | 20 |
| 5 and 6 | 1 | 30 |
| 5 and 7 | 1 | 35 |
| 5 and 8 | 1 | 40 |
| 2 and 10 | 2 | 10 |
| 3 and 10 | 1 | 30 |
| 4 and 10 | 2 | 20 |
| 6 and 10 | 2 | 30 |
| 7 and 10 | 1 | 70 |
| 8 and 10 | 2 | 40 |
See also: factors of 5 · factors of 10 · 5/10 as a decimal.
Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.