What is the Greatest Common Factor of 7323 and 7327?

Greatest common factor (GCF) of 7323 and 7327 is 1.

GCF(7323,7327) = 1

We will now calculate the prime factors of 7323 and 7327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7323 and 7327.

How to find the GCF of 7323 and 7327?

We will first find the prime factorization of 7323 and 7327. After we will calculate the factors of 7323 and 7327 and find the biggest common factor number .

Step-1: Prime Factorization of 7323

Prime factors of 7323 are 3, 2441. Prime factorization of 7323 in exponential form is:

7323 = 3¹ × 2441¹

Step-2: Prime Factorization of 7327

Prime factors of 7327 are 17, 431. Prime factorization of 7327 in exponential form is:

7327 = 17¹ × 431¹

Step-3: Factors of 7323

List of positive integer factors of 7323 that divides 7323 without a remainder.

1, 3, 2441

Step-4: Factors of 7327

List of positive integer factors of 7327 that divides 7323 without a remainder.

1, 17, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7323 and 7327. The biggest common factor number is the GCF number.
So the greatest common factor 7323 and 7327 is 1.

Also check out the Least Common Multiple of 7323 and 7327