What is the Greatest Common Factor of 82380 and 82395?

Greatest common factor (GCF) of 82380 and 82395 is 15.

GCF(82380,82395) = 15

We will now calculate the prime factors of 82380 and 82395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82380 and 82395.

How to find the GCF of 82380 and 82395?

We will first find the prime factorization of 82380 and 82395. After we will calculate the factors of 82380 and 82395 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82395

Prime factors of 82395 are 3, 5, 1831. Prime factorization of 82395 in exponential form is:

82395 = 3² × 5¹ × 1831¹

Step-3: Factors of 82380

List of positive integer factors of 82380 that divides 82380 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

Step-4: Factors of 82395

List of positive integer factors of 82395 that divides 82380 without a remainder.

1, 3, 5, 9, 15, 45, 1831, 5493, 9155, 16479, 27465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82380 and 82395. The biggest common factor number is the GCF number.
So the greatest common factor 82380 and 82395 is 15.

Also check out the Least Common Multiple of 82380 and 82395