What is the Greatest Common Factor of 26367 and 26379?

Greatest common factor (GCF) of 26367 and 26379 is 3.

GCF(26367,26379) = 3

We will now calculate the prime factors of 26367 and 26379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26367 and 26379.

How to find the GCF of 26367 and 26379?

We will first find the prime factorization of 26367 and 26379. After we will calculate the factors of 26367 and 26379 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 26379

Prime factors of 26379 are 3, 977. Prime factorization of 26379 in exponential form is:

26379 = 3³ × 977¹

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 26379

List of positive integer factors of 26379 that divides 26367 without a remainder.

1, 3, 9, 27, 977, 2931, 8793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26367 and 26379. The biggest common factor number is the GCF number.
So the greatest common factor 26367 and 26379 is 3.

Also check out the Least Common Multiple of 26367 and 26379