GCF and LCM of 24 and 26

The GCF of 24 and 26 is 2. The LCM of 24 and 26 is 312.

Method 1: list the factors (GCF)

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
Factors of 26: 1, 2, 13, 26.
Common factors: 1 and 2. The greatest of these is 2.

Method 2: prime factorization

24 = 2 × 2 × 2 × 3
26 = 2 × 13

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 × 13 = 312.

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. 26 = 1 × 24 + 2
  2. 24 = 12 × 2 + 0

The last non-zero remainder is 2, so GCF(24, 26) = 2.

LCM by listing multiples

Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, ...
Multiples of 26: 26, 52, 78, 104, 130, 156, 182, 208, 234, ...
The first number in both lists is 312.

Check: GCF × LCM = product

2 × 312 = 624 = 24 × 26. This always holds for two numbers, so you can find the LCM as (24 × 26) ÷ 2 = 312.

Simplifying the fraction 24/26

Divide the top and bottom by the GCF 2: 24/26 = 12/13.

GCF and LCM of similar pairs

NumbersGCFLCM
2 and 24224
3 and 24324
4 and 24424
5 and 241120
6 and 24624
7 and 241168
2 and 26226
3 and 26178
4 and 26252
5 and 261130
6 and 26278
7 and 261182

See also: factors of 24 · factors of 26.

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