What is the Greatest Common Factor of 26538 and 26556?

Greatest common factor (GCF) of 26538 and 26556 is 6.

GCF(26538,26556) = 6

We will now calculate the prime factors of 26538 and 26556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26538 and 26556.

How to find the GCF of 26538 and 26556?

We will first find the prime factorization of 26538 and 26556. After we will calculate the factors of 26538 and 26556 and find the biggest common factor number .

Step-1: Prime Factorization of 26538

Prime factors of 26538 are 2, 3, 4423. Prime factorization of 26538 in exponential form is:

26538 = 2¹ × 3¹ × 4423¹

Step-2: 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-3: Factors of 26538

List of positive integer factors of 26538 that divides 26538 without a remainder.

1, 2, 3, 6, 4423, 8846, 13269

Step-4: Factors of 26556

List of positive integer factors of 26556 that divides 26538 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26538 and 26556. The biggest common factor number is the GCF number.
So the greatest common factor 26538 and 26556 is 6.

Also check out the Least Common Multiple of 26538 and 26556