What is the Greatest Common Factor of 39366 and 39378?

Greatest common factor (GCF) of 39366 and 39378 is 6.

GCF(39366,39378) = 6

We will now calculate the prime factors of 39366 and 39378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39366 and 39378.

How to find the GCF of 39366 and 39378?

We will first find the prime factorization of 39366 and 39378. After we will calculate the factors of 39366 and 39378 and find the biggest common factor number .

Step-1: Prime Factorization of 39366

Prime factors of 39366 are 2, 3. Prime factorization of 39366 in exponential form is:

39366 = 2¹ × 3⁹

Step-2: Prime Factorization of 39378

Prime factors of 39378 are 2, 3, 6563. Prime factorization of 39378 in exponential form is:

39378 = 2¹ × 3¹ × 6563¹

Step-3: Factors of 39366

List of positive integer factors of 39366 that divides 39366 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374, 6561, 13122, 19683

Step-4: Factors of 39378

List of positive integer factors of 39378 that divides 39366 without a remainder.

1, 2, 3, 6, 6563, 13126, 19689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39366 and 39378. The biggest common factor number is the GCF number.
So the greatest common factor 39366 and 39378 is 6.

Also check out the Least Common Multiple of 39366 and 39378