What is the Greatest Common Factor of 26367 and 26378?

Greatest common factor (GCF) of 26367 and 26378 is 11.

GCF(26367,26378) = 11

We will now calculate the prime factors of 26367 and 26378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26367 and 26378.

How to find the GCF of 26367 and 26378?

We will first find the prime factorization of 26367 and 26378. After we will calculate the factors of 26367 and 26378 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 26378

Prime factors of 26378 are 2, 11, 109. Prime factorization of 26378 in exponential form is:

26378 = 2¹ × 11² × 109¹

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 26378

List of positive integer factors of 26378 that divides 26367 without a remainder.

1, 2, 11, 22, 109, 121, 218, 242, 1199, 2398, 13189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26367 and 26378. The biggest common factor number is the GCF number.
So the greatest common factor 26367 and 26378 is 11.

Also check out the Least Common Multiple of 26367 and 26378