What is the Greatest Common Factor of 26556 and 26568?

Greatest common factor (GCF) of 26556 and 26568 is 12.

GCF(26556,26568) = 12

We will now calculate the prime factors of 26556 and 26568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26556 and 26568.

How to find the GCF of 26556 and 26568?

We will first find the prime factorization of 26556 and 26568. After we will calculate the factors of 26556 and 26568 and find the biggest common factor number .

Step-1: Prime Factorization of 26556

Prime factors of 26556 are 2, 3, 2213. Prime factorization of 26556 in exponential form is:

26556 = 2² × 3¹ × 2213¹

Step-2: Prime Factorization of 26568

Prime factors of 26568 are 2, 3, 41. Prime factorization of 26568 in exponential form is:

26568 = 2³ × 3⁴ × 41¹

Step-3: Factors of 26556

List of positive integer factors of 26556 that divides 26556 without a remainder.

1, 2, 3, 4, 6, 12, 2213, 4426, 6639, 8852, 13278

Step-4: Factors of 26568

List of positive integer factors of 26568 that divides 26556 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 81, 82, 108, 123, 162, 164, 216, 246, 324, 328, 369, 492, 648, 738, 984, 1107, 1476, 2214, 2952, 3321, 4428, 6642, 8856, 13284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26556 and 26568. The biggest common factor number is the GCF number.
So the greatest common factor 26556 and 26568 is 12.

Also check out the Least Common Multiple of 26556 and 26568