What is the Greatest Common Factor of 11374 and 11381?

Greatest common factor (GCF) of 11374 and 11381 is 1.

GCF(11374,11381) = 1

We will now calculate the prime factors of 11374 and 11381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11374 and 11381.

How to find the GCF of 11374 and 11381?

We will first find the prime factorization of 11374 and 11381. After we will calculate the factors of 11374 and 11381 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 11381

Prime factors of 11381 are 19, 599. Prime factorization of 11381 in exponential form is:

11381 = 19¹ × 599¹

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 11381

List of positive integer factors of 11381 that divides 11374 without a remainder.

1, 19, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11374 and 11381. The biggest common factor number is the GCF number.
So the greatest common factor 11374 and 11381 is 1.

Also check out the Least Common Multiple of 11374 and 11381