What is the Greatest Common Factor of 41374 and 41381?

Greatest common factor (GCF) of 41374 and 41381 is 1.

GCF(41374,41381) = 1

We will now calculate the prime factors of 41374 and 41381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41374 and 41381.

How to find the GCF of 41374 and 41381?

We will first find the prime factorization of 41374 and 41381. After we will calculate the factors of 41374 and 41381 and find the biggest common factor number .

Step-1: Prime Factorization of 41374

Prime factors of 41374 are 2, 137, 151. Prime factorization of 41374 in exponential form is:

41374 = 2¹ × 137¹ × 151¹

Step-2: Prime Factorization of 41381

Prime factors of 41381 are 41381. Prime factorization of 41381 in exponential form is:

41381 = 41381¹

Step-3: Factors of 41374

List of positive integer factors of 41374 that divides 41374 without a remainder.

1, 2, 137, 151, 274, 302, 20687

Step-4: Factors of 41381

List of positive integer factors of 41381 that divides 41374 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41374 and 41381. The biggest common factor number is the GCF number.
So the greatest common factor 41374 and 41381 is 1.

Also check out the Least Common Multiple of 41374 and 41381