What is the Greatest Common Factor of 26367 and 26382?

Greatest common factor (GCF) of 26367 and 26382 is 3.

GCF(26367,26382) = 3

We will now calculate the prime factors of 26367 and 26382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26367 and 26382.

How to find the GCF of 26367 and 26382?

We will first find the prime factorization of 26367 and 26382. After we will calculate the factors of 26367 and 26382 and find the biggest common factor number .

Step-1: Prime Factorization of 26367

Prime factors of 26367 are 3, 11, 17, 47. Prime factorization of 26367 in exponential form is:

26367 = 3¹ × 11¹ × 17¹ × 47¹

Step-2: Prime Factorization of 26382

Prime factors of 26382 are 2, 3, 4397. Prime factorization of 26382 in exponential form is:

26382 = 2¹ × 3¹ × 4397¹

Step-3: Factors of 26367

List of positive integer factors of 26367 that divides 26367 without a remainder.

1, 3, 11, 17, 33, 47, 51, 141, 187, 517, 561, 799, 1551, 2397, 8789

Step-4: Factors of 26382

List of positive integer factors of 26382 that divides 26367 without a remainder.

1, 2, 3, 6, 4397, 8794, 13191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26367 and 26382. The biggest common factor number is the GCF number.
So the greatest common factor 26367 and 26382 is 3.

Also check out the Least Common Multiple of 26367 and 26382