What is the Greatest Common Factor of 39360 and 39372?

Greatest common factor (GCF) of 39360 and 39372 is 12.

GCF(39360,39372) = 12

We will now calculate the prime factors of 39360 and 39372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39360 and 39372.

How to find the GCF of 39360 and 39372?

We will first find the prime factorization of 39360 and 39372. After we will calculate the factors of 39360 and 39372 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 39372

Prime factors of 39372 are 2, 3, 17, 193. Prime factorization of 39372 in exponential form is:

39372 = 2² × 3¹ × 17¹ × 193¹

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 39372

List of positive integer factors of 39372 that divides 39360 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 193, 204, 386, 579, 772, 1158, 2316, 3281, 6562, 9843, 13124, 19686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39360 and 39372. The biggest common factor number is the GCF number.
So the greatest common factor 39360 and 39372 is 12.

Also check out the Least Common Multiple of 39360 and 39372