What is the Greatest Common Factor of 41374 and 41382?

Greatest common factor (GCF) of 41374 and 41382 is 2.

GCF(41374,41382) = 2

We will now calculate the prime factors of 41374 and 41382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41374 and 41382.

How to find the GCF of 41374 and 41382?

We will first find the prime factorization of 41374 and 41382. After we will calculate the factors of 41374 and 41382 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 41382

Prime factors of 41382 are 2, 3, 11, 19. Prime factorization of 41382 in exponential form is:

41382 = 2¹ × 3² × 11² × 19¹

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 41382

List of positive integer factors of 41382 that divides 41374 without a remainder.

1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 121, 171, 198, 209, 242, 342, 363, 418, 627, 726, 1089, 1254, 1881, 2178, 2299, 3762, 4598, 6897, 13794, 20691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41374 and 41382. The biggest common factor number is the GCF number.
So the greatest common factor 41374 and 41382 is 2.

Also check out the Least Common Multiple of 41374 and 41382