What is the Greatest Common Factor of 82365 and 82380?

Greatest common factor (GCF) of 82365 and 82380 is 15.

GCF(82365,82380) = 15

We will now calculate the prime factors of 82365 and 82380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82365 and 82380.

How to find the GCF of 82365 and 82380?

We will first find the prime factorization of 82365 and 82380. After we will calculate the factors of 82365 and 82380 and find the biggest common factor number .

Step-1: Prime Factorization of 82365

Prime factors of 82365 are 3, 5, 17, 19. Prime factorization of 82365 in exponential form is:

82365 = 3¹ × 5¹ × 17² × 19¹

Step-2: Prime Factorization of 82380

Prime factors of 82380 are 2, 3, 5, 1373. Prime factorization of 82380 in exponential form is:

82380 = 2² × 3¹ × 5¹ × 1373¹

Step-3: Factors of 82365

List of positive integer factors of 82365 that divides 82365 without a remainder.

1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 289, 323, 867, 969, 1445, 1615, 4335, 4845, 5491, 16473, 27455

Step-4: Factors of 82380

List of positive integer factors of 82380 that divides 82365 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1373, 2746, 4119, 5492, 6865, 8238, 13730, 16476, 20595, 27460, 41190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82365 and 82380. The biggest common factor number is the GCF number.
So the greatest common factor 82365 and 82380 is 15.

Also check out the Least Common Multiple of 82365 and 82380