What is the Greatest Common Factor of 82365 and 82370?

Greatest common factor (GCF) of 82365 and 82370 is 5.

GCF(82365,82370) = 5

We will now calculate the prime factors of 82365 and 82370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82365 and 82370.

How to find the GCF of 82365 and 82370?

We will first find the prime factorization of 82365 and 82370. After we will calculate the factors of 82365 and 82370 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 82370

Prime factors of 82370 are 2, 5, 8237. Prime factorization of 82370 in exponential form is:

82370 = 2¹ × 5¹ × 8237¹

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 82370

List of positive integer factors of 82370 that divides 82365 without a remainder.

1, 2, 5, 10, 8237, 16474, 41185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82365 and 82370. The biggest common factor number is the GCF number.
So the greatest common factor 82365 and 82370 is 5.

Also check out the Least Common Multiple of 82365 and 82370