What is the Greatest Common Factor of 39360 and 39380?

Greatest common factor (GCF) of 39360 and 39380 is 20.

GCF(39360,39380) = 20

We will now calculate the prime factors of 39360 and 39380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39360 and 39380.

How to find the GCF of 39360 and 39380?

We will first find the prime factorization of 39360 and 39380. After we will calculate the factors of 39360 and 39380 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 39380

Prime factors of 39380 are 2, 5, 11, 179. Prime factorization of 39380 in exponential form is:

39380 = 2² × 5¹ × 11¹ × 179¹

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 39380

List of positive integer factors of 39380 that divides 39360 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 179, 220, 358, 716, 895, 1790, 1969, 3580, 3938, 7876, 9845, 19690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39360 and 39380. The biggest common factor number is the GCF number.
So the greatest common factor 39360 and 39380 is 20.

Also check out the Least Common Multiple of 39360 and 39380