What is the Greatest Common Factor of 41382 and 41393?

Greatest common factor (GCF) of 41382 and 41393 is 11.

GCF(41382,41393) = 11

We will now calculate the prime factors of 41382 and 41393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41382 and 41393.

How to find the GCF of 41382 and 41393?

We will first find the prime factorization of 41382 and 41393. After we will calculate the factors of 41382 and 41393 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41393

Prime factors of 41393 are 11, 53, 71. Prime factorization of 41393 in exponential form is:

41393 = 11¹ × 53¹ × 71¹

Step-3: Factors of 41382

List of positive integer factors of 41382 that divides 41382 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

Step-4: Factors of 41393

List of positive integer factors of 41393 that divides 41382 without a remainder.

1, 11, 53, 71, 583, 781, 3763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41382 and 41393. The biggest common factor number is the GCF number.
So the greatest common factor 41382 and 41393 is 11.

Also check out the Least Common Multiple of 41382 and 41393