What is the Greatest Common Factor of 82365 and 82376?

Greatest common factor (GCF) of 82365 and 82376 is 1.

GCF(82365,82376) = 1

We will now calculate the prime factors of 82365 and 82376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82365 and 82376.

How to find the GCF of 82365 and 82376?

We will first find the prime factorization of 82365 and 82376. After we will calculate the factors of 82365 and 82376 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 82376

Prime factors of 82376 are 2, 7, 1471. Prime factorization of 82376 in exponential form is:

82376 = 2³ × 7¹ × 1471¹

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 82376

List of positive integer factors of 82376 that divides 82365 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1471, 2942, 5884, 10297, 11768, 20594, 41188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82365 and 82376. The biggest common factor number is the GCF number.
So the greatest common factor 82365 and 82376 is 1.

Also check out the Least Common Multiple of 82365 and 82376