What is the Greatest Common Factor of 27391 and 27404?

Greatest common factor (GCF) of 27391 and 27404 is 13.

GCF(27391,27404) = 13

We will now calculate the prime factors of 27391 and 27404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27391 and 27404.

How to find the GCF of 27391 and 27404?

We will first find the prime factorization of 27391 and 27404. After we will calculate the factors of 27391 and 27404 and find the biggest common factor number .

Step-1: Prime Factorization of 27391

Prime factors of 27391 are 7, 13, 43. Prime factorization of 27391 in exponential form is:

27391 = 7² × 13¹ × 43¹

Step-2: Prime Factorization of 27404

Prime factors of 27404 are 2, 13, 17, 31. Prime factorization of 27404 in exponential form is:

27404 = 2² × 13¹ × 17¹ × 31¹

Step-3: Factors of 27391

List of positive integer factors of 27391 that divides 27391 without a remainder.

1, 7, 13, 43, 49, 91, 301, 559, 637, 2107, 3913

Step-4: Factors of 27404

List of positive integer factors of 27404 that divides 27391 without a remainder.

1, 2, 4, 13, 17, 26, 31, 34, 52, 62, 68, 124, 221, 403, 442, 527, 806, 884, 1054, 1612, 2108, 6851, 13702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27391 and 27404. The biggest common factor number is the GCF number.
So the greatest common factor 27391 and 27404 is 13.

Also check out the Least Common Multiple of 27391 and 27404