What is the Greatest Common Factor of 41370 and 41382?

Greatest common factor (GCF) of 41370 and 41382 is 6.

GCF(41370,41382) = 6

We will now calculate the prime factors of 41370 and 41382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41370 and 41382.

How to find the GCF of 41370 and 41382?

We will first find the prime factorization of 41370 and 41382. After we will calculate the factors of 41370 and 41382 and find the biggest common factor number .

Step-1: Prime Factorization of 41370

Prime factors of 41370 are 2, 3, 5, 7, 197. Prime factorization of 41370 in exponential form is:

41370 = 2¹ × 3¹ × 5¹ × 7¹ × 197¹

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 41370

List of positive integer factors of 41370 that divides 41370 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 197, 210, 394, 591, 985, 1182, 1379, 1970, 2758, 2955, 4137, 5910, 6895, 8274, 13790, 20685

Step-4: Factors of 41382

List of positive integer factors of 41382 that divides 41370 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 41370 and 41382. The biggest common factor number is the GCF number.
So the greatest common factor 41370 and 41382 is 6.

Also check out the Least Common Multiple of 41370 and 41382