What is the Greatest Common Factor of 38364 and 38382?

Greatest common factor (GCF) of 38364 and 38382 is 6.

GCF(38364,38382) = 6

We will now calculate the prime factors of 38364 and 38382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38364 and 38382.

How to find the GCF of 38364 and 38382?

We will first find the prime factorization of 38364 and 38382. After we will calculate the factors of 38364 and 38382 and find the biggest common factor number .

Step-1: Prime Factorization of 38364

Prime factors of 38364 are 2, 3, 23, 139. Prime factorization of 38364 in exponential form is:

38364 = 2² × 3¹ × 23¹ × 139¹

Step-2: Prime Factorization of 38382

Prime factors of 38382 are 2, 3, 6397. Prime factorization of 38382 in exponential form is:

38382 = 2¹ × 3¹ × 6397¹

Step-3: Factors of 38364

List of positive integer factors of 38364 that divides 38364 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 139, 276, 278, 417, 556, 834, 1668, 3197, 6394, 9591, 12788, 19182

Step-4: Factors of 38382

List of positive integer factors of 38382 that divides 38364 without a remainder.

1, 2, 3, 6, 6397, 12794, 19191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38364 and 38382. The biggest common factor number is the GCF number.
So the greatest common factor 38364 and 38382 is 6.

Also check out the Least Common Multiple of 38364 and 38382