GCF and LCM of 22 and 24

The GCF of 22 and 24 is 2. The LCM of 22 and 24 is 264.

Method 1: list the factors (GCF)

Factors of 22: 1, 2, 11, 22.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
Common factors: 1 and 2. The greatest of these is 2.

Method 2: prime factorization

22 = 2 × 11
24 = 2 × 2 × 2 × 3

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 × 2 × 3 × 11 = 264.

Method 3: Euclidean algorithm (GCF)

Divide the larger number by the smaller and repeat with the remainder until it is 0. The last non-zero remainder is the GCF.

  1. 24 = 1 × 22 + 2
  2. 22 = 11 × 2 + 0

The last non-zero remainder is 2, so GCF(22, 24) = 2.

LCM by listing multiples

Multiples of 22: 22, 44, 66, 88, 110, 132, 154, 176, 198, ...
Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, ...
The first number in both lists is 264.

Check: GCF × LCM = product

2 × 264 = 528 = 22 × 24. This always holds for two numbers, so you can find the LCM as (22 × 24) ÷ 2 = 264.

Simplifying the fraction 22/24

Divide the top and bottom by the GCF 2: 22/24 = 11/12.

GCF and LCM of similar pairs

NumbersGCFLCM
2 and 22222
3 and 22166
4 and 22244
5 and 221110
6 and 22266
7 and 221154
2 and 24224
3 and 24324
4 and 24424
5 and 241120
6 and 24624
7 and 241168

See also: factors of 22 · factors of 24.

Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.