What is the Greatest Common Factor of 11344 and 11357?

Greatest common factor (GCF) of 11344 and 11357 is 1.

GCF(11344,11357) = 1

We will now calculate the prime factors of 11344 and 11357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11344 and 11357.

How to find the GCF of 11344 and 11357?

We will first find the prime factorization of 11344 and 11357. After we will calculate the factors of 11344 and 11357 and find the biggest common factor number .

Step-1: Prime Factorization of 11344

Prime factors of 11344 are 2, 709. Prime factorization of 11344 in exponential form is:

11344 = 2⁴ × 709¹

Step-2: Prime Factorization of 11357

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

11357 = 41¹ × 277¹

Step-3: Factors of 11344

List of positive integer factors of 11344 that divides 11344 without a remainder.

1, 2, 4, 8, 16, 709, 1418, 2836, 5672

Step-4: Factors of 11357

List of positive integer factors of 11357 that divides 11344 without a remainder.

1, 41, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11344 and 11357. The biggest common factor number is the GCF number.
So the greatest common factor 11344 and 11357 is 1.

Also check out the Least Common Multiple of 11344 and 11357