What is the Greatest Common Factor of 76383 and 76395?

Greatest common factor (GCF) of 76383 and 76395 is 3.

GCF(76383,76395) = 3

We will now calculate the prime factors of 76383 and 76395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76383 and 76395.

How to find the GCF of 76383 and 76395?

We will first find the prime factorization of 76383 and 76395. After we will calculate the factors of 76383 and 76395 and find the biggest common factor number .

Step-1: Prime Factorization of 76383

Prime factors of 76383 are 3, 23, 41. Prime factorization of 76383 in exponential form is:

76383 = 3⁴ × 23¹ × 41¹

Step-2: Prime Factorization of 76395

Prime factors of 76395 are 3, 5, 11, 463. Prime factorization of 76395 in exponential form is:

76395 = 3¹ × 5¹ × 11¹ × 463¹

Step-3: Factors of 76383

List of positive integer factors of 76383 that divides 76383 without a remainder.

1, 3, 9, 23, 27, 41, 69, 81, 123, 207, 369, 621, 943, 1107, 1863, 2829, 3321, 8487, 25461

Step-4: Factors of 76395

List of positive integer factors of 76395 that divides 76383 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 463, 1389, 2315, 5093, 6945, 15279, 25465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76383 and 76395. The biggest common factor number is the GCF number.
So the greatest common factor 76383 and 76395 is 3.

Also check out the Least Common Multiple of 76383 and 76395