What is the Greatest Common Factor of 27347 and 27365?

Greatest common factor (GCF) of 27347 and 27365 is 1.

GCF(27347,27365) = 1

We will now calculate the prime factors of 27347 and 27365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27347 and 27365.

How to find the GCF of 27347 and 27365?

We will first find the prime factorization of 27347 and 27365. After we will calculate the factors of 27347 and 27365 and find the biggest common factor number .

Step-1: Prime Factorization of 27347

Prime factors of 27347 are 23, 29, 41. Prime factorization of 27347 in exponential form is:

27347 = 23¹ × 29¹ × 41¹

Step-2: Prime Factorization of 27365

Prime factors of 27365 are 5, 13, 421. Prime factorization of 27365 in exponential form is:

27365 = 5¹ × 13¹ × 421¹

Step-3: Factors of 27347

List of positive integer factors of 27347 that divides 27347 without a remainder.

1, 23, 29, 41, 667, 943, 1189

Step-4: Factors of 27365

List of positive integer factors of 27365 that divides 27347 without a remainder.

1, 5, 13, 65, 421, 2105, 5473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27347 and 27365. The biggest common factor number is the GCF number.
So the greatest common factor 27347 and 27365 is 1.

Also check out the Least Common Multiple of 27347 and 27365