What is the Greatest Common Factor of 39360 and 39373?

Greatest common factor (GCF) of 39360 and 39373 is 1.

GCF(39360,39373) = 1

We will now calculate the prime factors of 39360 and 39373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39360 and 39373.

How to find the GCF of 39360 and 39373?

We will first find the prime factorization of 39360 and 39373. After we will calculate the factors of 39360 and 39373 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 39373

Prime factors of 39373 are 39373. Prime factorization of 39373 in exponential form is:

39373 = 39373¹

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 39373

List of positive integer factors of 39373 that divides 39360 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39360 and 39373. The biggest common factor number is the GCF number.
So the greatest common factor 39360 and 39373 is 1.

Also check out the Least Common Multiple of 39360 and 39373