What is the Greatest Common Factor of 11374 and 11385?

Greatest common factor (GCF) of 11374 and 11385 is 11.

GCF(11374,11385) = 11

We will now calculate the prime factors of 11374 and 11385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11374 and 11385.

How to find the GCF of 11374 and 11385?

We will first find the prime factorization of 11374 and 11385. After we will calculate the factors of 11374 and 11385 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 11374

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

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

Step-4: Factors of 11385

List of positive integer factors of 11385 that divides 11374 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11374 and 11385. The biggest common factor number is the GCF number.
So the greatest common factor 11374 and 11385 is 11.

Also check out the Least Common Multiple of 11374 and 11385