What is the Greatest Common Factor of 76383 and 76387?

Greatest common factor (GCF) of 76383 and 76387 is 1.

GCF(76383,76387) = 1

We will now calculate the prime factors of 76383 and 76387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76383 and 76387.

How to find the GCF of 76383 and 76387?

We will first find the prime factorization of 76383 and 76387. After we will calculate the factors of 76383 and 76387 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 76387

Prime factors of 76387 are 76387. Prime factorization of 76387 in exponential form is:

76387 = 76387¹

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 76387

List of positive integer factors of 76387 that divides 76383 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76383 and 76387. The biggest common factor number is the GCF number.
So the greatest common factor 76383 and 76387 is 1.

Also check out the Least Common Multiple of 76383 and 76387