What is the Greatest Common Factor of 39360 and 39379?

Greatest common factor (GCF) of 39360 and 39379 is 1.

GCF(39360,39379) = 1

We will now calculate the prime factors of 39360 and 39379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39360 and 39379.

How to find the GCF of 39360 and 39379?

We will first find the prime factorization of 39360 and 39379. After we will calculate the factors of 39360 and 39379 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 39379

Prime factors of 39379 are 53, 743. Prime factorization of 39379 in exponential form is:

39379 = 53¹ × 743¹

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 39379

List of positive integer factors of 39379 that divides 39360 without a remainder.

1, 53, 743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39360 and 39379. The biggest common factor number is the GCF number.
So the greatest common factor 39360 and 39379 is 1.

Also check out the Least Common Multiple of 39360 and 39379