What is the Greatest Common Factor of 11357 and 11374?

Greatest common factor (GCF) of 11357 and 11374 is 1.

GCF(11357,11374) = 1

We will now calculate the prime factors of 11357 and 11374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11357 and 11374.

How to find the GCF of 11357 and 11374?

We will first find the prime factorization of 11357 and 11374. After we will calculate the factors of 11357 and 11374 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 11374

Prime factors of 11374 are 2, 11, 47. Prime factorization of 11374 in exponential form is:

11374 = 2¹ × 11² × 47¹

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 11374

List of positive integer factors of 11374 that divides 11357 without a remainder.

1, 2, 11, 22, 47, 94, 121, 242, 517, 1034, 5687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11357 and 11374. The biggest common factor number is the GCF number.
So the greatest common factor 11357 and 11374 is 1.

Also check out the Least Common Multiple of 11357 and 11374