What is the Greatest Common Factor of 72303 and 72321?

Greatest common factor (GCF) of 72303 and 72321 is 3.

GCF(72303,72321) = 3

We will now calculate the prime factors of 72303 and 72321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72303 and 72321.

How to find the GCF of 72303 and 72321?

We will first find the prime factorization of 72303 and 72321. After we will calculate the factors of 72303 and 72321 and find the biggest common factor number .

Step-1: Prime Factorization of 72303

Prime factors of 72303 are 3, 7, 11, 313. Prime factorization of 72303 in exponential form is:

72303 = 3¹ × 7¹ × 11¹ × 313¹

Step-2: Prime Factorization of 72321

Prime factors of 72321 are 3, 24107. Prime factorization of 72321 in exponential form is:

72321 = 3¹ × 24107¹

Step-3: Factors of 72303

List of positive integer factors of 72303 that divides 72303 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 313, 939, 2191, 3443, 6573, 10329, 24101

Step-4: Factors of 72321

List of positive integer factors of 72321 that divides 72303 without a remainder.

1, 3, 24107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72303 and 72321. The biggest common factor number is the GCF number.
So the greatest common factor 72303 and 72321 is 3.

Also check out the Least Common Multiple of 72303 and 72321