What is the Greatest Common Factor of 76373 and 76383?

Greatest common factor (GCF) of 76373 and 76383 is 1.

GCF(76373,76383) = 1

We will now calculate the prime factors of 76373 and 76383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76373 and 76383.

How to find the GCF of 76373 and 76383?

We will first find the prime factorization of 76373 and 76383. After we will calculate the factors of 76373 and 76383 and find the biggest common factor number .

Step-1: Prime Factorization of 76373

Prime factors of 76373 are 11, 53, 131. Prime factorization of 76373 in exponential form is:

76373 = 11¹ × 53¹ × 131¹

Step-2: 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-3: Factors of 76373

List of positive integer factors of 76373 that divides 76373 without a remainder.

1, 11, 53, 131, 583, 1441, 6943

Step-4: Factors of 76383

List of positive integer factors of 76383 that divides 76373 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76373 and 76383. The biggest common factor number is the GCF number.
So the greatest common factor 76373 and 76383 is 1.

Also check out the Least Common Multiple of 76373 and 76383