What is the Greatest Common Factor of 76321 and 76327?

Greatest common factor (GCF) of 76321 and 76327 is 1.

GCF(76321,76327) = 1

We will now calculate the prime factors of 76321 and 76327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76321 and 76327.

How to find the GCF of 76321 and 76327?

We will first find the prime factorization of 76321 and 76327. After we will calculate the factors of 76321 and 76327 and find the biggest common factor number .

Step-1: Prime Factorization of 76321

Prime factors of 76321 are 7, 10903. Prime factorization of 76321 in exponential form is:

76321 = 7¹ × 10903¹

Step-2: Prime Factorization of 76327

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

76327 = 127¹ × 601¹

Step-3: Factors of 76321

List of positive integer factors of 76321 that divides 76321 without a remainder.

1, 7, 10903

Step-4: Factors of 76327

List of positive integer factors of 76327 that divides 76321 without a remainder.

1, 127, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76321 and 76327. The biggest common factor number is the GCF number.
So the greatest common factor 76321 and 76327 is 1.

Also check out the Least Common Multiple of 76321 and 76327