What is the Greatest Common Factor of 73321 and 73327?

Greatest common factor (GCF) of 73321 and 73327 is 1.

GCF(73321,73327) = 1

We will now calculate the prime factors of 73321 and 73327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73321 and 73327.

How to find the GCF of 73321 and 73327?

We will first find the prime factorization of 73321 and 73327. After we will calculate the factors of 73321 and 73327 and find the biggest common factor number .

Step-1: Prime Factorization of 73321

Prime factors of 73321 are 17, 19, 227. Prime factorization of 73321 in exponential form is:

73321 = 17¹ × 19¹ × 227¹

Step-2: Prime Factorization of 73327

Prime factors of 73327 are 73327. Prime factorization of 73327 in exponential form is:

73327 = 73327¹

Step-3: Factors of 73321

List of positive integer factors of 73321 that divides 73321 without a remainder.

1, 17, 19, 227, 323, 3859, 4313

Step-4: Factors of 73327

List of positive integer factors of 73327 that divides 73321 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73321 and 73327. The biggest common factor number is the GCF number.
So the greatest common factor 73321 and 73327 is 1.

Also check out the Least Common Multiple of 73321 and 73327