What is the Greatest Common Factor of 82365 and 82374?

Greatest common factor (GCF) of 82365 and 82374 is 3.

GCF(82365,82374) = 3

We will now calculate the prime factors of 82365 and 82374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82365 and 82374.

How to find the GCF of 82365 and 82374?

We will first find the prime factorization of 82365 and 82374. After we will calculate the factors of 82365 and 82374 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 82374

Prime factors of 82374 are 2, 3, 13729. Prime factorization of 82374 in exponential form is:

82374 = 2¹ × 3¹ × 13729¹

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 82374

List of positive integer factors of 82374 that divides 82365 without a remainder.

1, 2, 3, 6, 13729, 27458, 41187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82365 and 82374. The biggest common factor number is the GCF number.
So the greatest common factor 82365 and 82374 is 3.

Also check out the Least Common Multiple of 82365 and 82374