What is the Greatest Common Factor of 39360 and 39366?

Greatest common factor (GCF) of 39360 and 39366 is 6.

GCF(39360,39366) = 6

We will now calculate the prime factors of 39360 and 39366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39360 and 39366.

How to find the GCF of 39360 and 39366?

We will first find the prime factorization of 39360 and 39366. After we will calculate the factors of 39360 and 39366 and find the biggest common factor number .

Step-1: Prime Factorization of 39360

Prime factors of 39360 are 2, 3, 5, 41. Prime factorization of 39360 in exponential form is:

39360 = 2⁶ × 3¹ × 5¹ × 41¹

Step-2: Prime Factorization of 39366

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

39366 = 2¹ × 3⁹

Step-3: Factors of 39360

List of positive integer factors of 39360 that divides 39360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 41, 48, 60, 64, 80, 82, 96, 120, 123, 160, 164, 192, 205, 240, 246, 320, 328, 410, 480, 492, 615, 656, 820, 960, 984, 1230, 1312, 1640, 1968, 2460, 2624, 3280, 3936, 4920, 6560, 7872, 9840, 13120, 19680

Step-4: Factors of 39366

List of positive integer factors of 39366 that divides 39360 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39360 and 39366. The biggest common factor number is the GCF number.
So the greatest common factor 39360 and 39366 is 6.

Also check out the Least Common Multiple of 39360 and 39366