What is the Greatest Common Factor of 11357 and 11365?

Greatest common factor (GCF) of 11357 and 11365 is 1.

GCF(11357,11365) = 1

We will now calculate the prime factors of 11357 and 11365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11357 and 11365.

How to find the GCF of 11357 and 11365?

We will first find the prime factorization of 11357 and 11365. After we will calculate the factors of 11357 and 11365 and find the biggest common factor number .

Step-1: Prime Factorization of 11357

Prime factors of 11357 are 41, 277. Prime factorization of 11357 in exponential form is:

11357 = 41¹ × 277¹

Step-2: Prime Factorization of 11365

Prime factors of 11365 are 5, 2273. Prime factorization of 11365 in exponential form is:

11365 = 5¹ × 2273¹

Step-3: Factors of 11357

List of positive integer factors of 11357 that divides 11357 without a remainder.

1, 41, 277

Step-4: Factors of 11365

List of positive integer factors of 11365 that divides 11357 without a remainder.

1, 5, 2273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11357 and 11365. The biggest common factor number is the GCF number.
So the greatest common factor 11357 and 11365 is 1.

Also check out the Least Common Multiple of 11357 and 11365