What is the Greatest Common Factor of 26586 and 26604?

Greatest common factor (GCF) of 26586 and 26604 is 18.

GCF(26586,26604) = 18

We will now calculate the prime factors of 26586 and 26604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26586 and 26604.

How to find the GCF of 26586 and 26604?

We will first find the prime factorization of 26586 and 26604. After we will calculate the factors of 26586 and 26604 and find the biggest common factor number .

Step-1: Prime Factorization of 26586

Prime factors of 26586 are 2, 3, 7, 211. Prime factorization of 26586 in exponential form is:

26586 = 2¹ × 3² × 7¹ × 211¹

Step-2: Prime Factorization of 26604

Prime factors of 26604 are 2, 3, 739. Prime factorization of 26604 in exponential form is:

26604 = 2² × 3² × 739¹

Step-3: Factors of 26586

List of positive integer factors of 26586 that divides 26586 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 211, 422, 633, 1266, 1477, 1899, 2954, 3798, 4431, 8862, 13293

Step-4: Factors of 26604

List of positive integer factors of 26604 that divides 26586 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 739, 1478, 2217, 2956, 4434, 6651, 8868, 13302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26586 and 26604. The biggest common factor number is the GCF number.
So the greatest common factor 26586 and 26604 is 18.

Also check out the Least Common Multiple of 26586 and 26604