The GCF of 16 and 48 is 16. The LCM of 16 and 48 is 48.
Factors of 16: 1, 2, 4, 8, 16.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Common factors: 1, 2, 4, 8 and 16. The greatest of these is 16.
16 = 2 × 2 × 2 × 2
48 = 2 × 2 × 2 × 2 × 3
GCF: multiply the prime factors both numbers share: 2 × 2 × 2 × 2 = 16.
LCM: multiply every prime the maximum number of times it appears in either number: 2 × 2 × 2 × 2 × 3 = 48.
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 16, so GCF(16, 48) = 16.
Multiples of 16: 16, 32, 48, 64, ...
Multiples of 48: 48, 96, ...
The first number in both lists is 48.
16 × 48 = 768 = 16 × 48. This always holds for two numbers, so you can find the LCM as (16 × 48) ÷ 16 = 48.
Divide the top and bottom by the GCF 16: 16/48 = 1/3.
| Numbers | GCF | LCM |
|---|---|---|
| 2 and 16 | 2 | 16 |
| 3 and 16 | 1 | 48 |
| 4 and 16 | 4 | 16 |
| 5 and 16 | 1 | 80 |
| 6 and 16 | 2 | 48 |
| 7 and 16 | 1 | 112 |
| 2 and 48 | 2 | 48 |
| 3 and 48 | 3 | 48 |
| 4 and 48 | 4 | 48 |
| 5 and 48 | 1 | 240 |
| 6 and 48 | 6 | 48 |
| 7 and 48 | 1 | 336 |
See also: factors of 16 · factors of 48.
Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.