The GCF of 4 and 16 is 4. The LCM of 4 and 16 is 16.
Factors of 4: 1, 2, 4.
Factors of 16: 1, 2, 4, 8, 16.
Common factors: 1, 2 and 4. The greatest of these is 4.
4 = 2 × 2
16 = 2 × 2 × 2 × 2
GCF: multiply the prime factors both numbers share: 2 × 2 = 4.
LCM: multiply every prime the maximum number of times it appears in either number: 2 × 2 × 2 × 2 = 16.
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 4, so GCF(4, 16) = 4.
Multiples of 4: 4, 8, 12, 16, 20, ...
Multiples of 16: 16, 32, ...
The first number in both lists is 16.
4 × 16 = 64 = 4 × 16. This always holds for two numbers, so you can find the LCM as (4 × 16) ÷ 4 = 16.
Divide the top and bottom by the GCF 4: 4/16 = 1/4.
| 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 16 | 2 | 16 |
| 3 and 16 | 1 | 48 |
| 5 and 16 | 1 | 80 |
| 6 and 16 | 2 | 48 |
| 7 and 16 | 1 | 112 |
| 8 and 16 | 8 | 16 |
See also: factors of 4 · factors of 16 · 4/16 as a decimal.
Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.