What is the Greatest Common Factor of 26346 and 26364?

Greatest common factor (GCF) of 26346 and 26364 is 6.

GCF(26346,26364) = 6

We will now calculate the prime factors of 26346 and 26364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26346 and 26364.

How to find the GCF of 26346 and 26364?

We will first find the prime factorization of 26346 and 26364. After we will calculate the factors of 26346 and 26364 and find the biggest common factor number .

Step-1: Prime Factorization of 26346

Prime factors of 26346 are 2, 3, 4391. Prime factorization of 26346 in exponential form is:

26346 = 2¹ × 3¹ × 4391¹

Step-2: Prime Factorization of 26364

Prime factors of 26364 are 2, 3, 13. Prime factorization of 26364 in exponential form is:

26364 = 2² × 3¹ × 13³

Step-3: Factors of 26346

List of positive integer factors of 26346 that divides 26346 without a remainder.

1, 2, 3, 6, 4391, 8782, 13173

Step-4: Factors of 26364

List of positive integer factors of 26364 that divides 26346 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028, 2197, 4394, 6591, 8788, 13182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26346 and 26364. The biggest common factor number is the GCF number.
So the greatest common factor 26346 and 26364 is 6.

Also check out the Least Common Multiple of 26346 and 26364