What is the Greatest Common Factor of 72321 and 72330?

Greatest common factor (GCF) of 72321 and 72330 is 3.

GCF(72321,72330) = 3

We will now calculate the prime factors of 72321 and 72330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72321 and 72330.

How to find the GCF of 72321 and 72330?

We will first find the prime factorization of 72321 and 72330. After we will calculate the factors of 72321 and 72330 and find the biggest common factor number .

Step-1: Prime Factorization of 72321

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

72321 = 3¹ × 24107¹

Step-2: Prime Factorization of 72330

Prime factors of 72330 are 2, 3, 5, 2411. Prime factorization of 72330 in exponential form is:

72330 = 2¹ × 3¹ × 5¹ × 2411¹

Step-3: Factors of 72321

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

1, 3, 24107

Step-4: Factors of 72330

List of positive integer factors of 72330 that divides 72321 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2411, 4822, 7233, 12055, 14466, 24110, 36165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72321 and 72330. The biggest common factor number is the GCF number.
So the greatest common factor 72321 and 72330 is 3.

Also check out the Least Common Multiple of 72321 and 72330