What is the Greatest Common Factor of 11385 and 11401?

Greatest common factor (GCF) of 11385 and 11401 is 1.

GCF(11385,11401) = 1

We will now calculate the prime factors of 11385 and 11401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11385 and 11401.

How to find the GCF of 11385 and 11401?

We will first find the prime factorization of 11385 and 11401. After we will calculate the factors of 11385 and 11401 and find the biggest common factor number .

Step-1: Prime Factorization of 11385

Prime factors of 11385 are 3, 5, 11, 23. Prime factorization of 11385 in exponential form is:

11385 = 3² × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 11401

Prime factors of 11401 are 13, 877. Prime factorization of 11401 in exponential form is:

11401 = 13¹ × 877¹

Step-3: Factors of 11385

List of positive integer factors of 11385 that divides 11385 without a remainder.

1, 3, 5, 9, 11, 15, 23, 33, 45, 55, 69, 99, 115, 165, 207, 253, 345, 495, 759, 1035, 1265, 2277, 3795

Step-4: Factors of 11401

List of positive integer factors of 11401 that divides 11385 without a remainder.

1, 13, 877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11385 and 11401. The biggest common factor number is the GCF number.
So the greatest common factor 11385 and 11401 is 1.

Also check out the Least Common Multiple of 11385 and 11401