What is the Greatest Common Factor of 27391 and 27407?

Greatest common factor (GCF) of 27391 and 27407 is 1.

GCF(27391,27407) = 1

We will now calculate the prime factors of 27391 and 27407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27391 and 27407.

How to find the GCF of 27391 and 27407?

We will first find the prime factorization of 27391 and 27407. After we will calculate the factors of 27391 and 27407 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 27407

Prime factors of 27407 are 27407. Prime factorization of 27407 in exponential form is:

27407 = 27407¹

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 27407

List of positive integer factors of 27407 that divides 27391 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27391 and 27407. The biggest common factor number is the GCF number.
So the greatest common factor 27391 and 27407 is 1.

Also check out the Least Common Multiple of 27391 and 27407