What is the Greatest Common Factor of 76327 and 76347?

Greatest common factor (GCF) of 76327 and 76347 is 1.

GCF(76327,76347) = 1

We will now calculate the prime factors of 76327 and 76347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76327 and 76347.

How to find the GCF of 76327 and 76347?

We will first find the prime factorization of 76327 and 76347. After we will calculate the factors of 76327 and 76347 and find the biggest common factor number .

Step-1: Prime Factorization of 76327

Prime factors of 76327 are 127, 601. Prime factorization of 76327 in exponential form is:

76327 = 127¹ × 601¹

Step-2: Prime Factorization of 76347

Prime factors of 76347 are 3, 17, 499. Prime factorization of 76347 in exponential form is:

76347 = 3² × 17¹ × 499¹

Step-3: Factors of 76327

List of positive integer factors of 76327 that divides 76327 without a remainder.

1, 127, 601

Step-4: Factors of 76347

List of positive integer factors of 76347 that divides 76327 without a remainder.

1, 3, 9, 17, 51, 153, 499, 1497, 4491, 8483, 25449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76327 and 76347. The biggest common factor number is the GCF number.
So the greatest common factor 76327 and 76347 is 1.

Also check out the Least Common Multiple of 76327 and 76347