What is the Greatest Common Factor of 72396 and 72405?

Greatest common factor (GCF) of 72396 and 72405 is 9.

GCF(72396,72405) = 9

We will now calculate the prime factors of 72396 and 72405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72396 and 72405.

How to find the GCF of 72396 and 72405?

We will first find the prime factorization of 72396 and 72405. After we will calculate the factors of 72396 and 72405 and find the biggest common factor number .

Step-1: Prime Factorization of 72396

Prime factors of 72396 are 2, 3, 2011. Prime factorization of 72396 in exponential form is:

72396 = 2² × 3² × 2011¹

Step-2: Prime Factorization of 72405

Prime factors of 72405 are 3, 5, 1609. Prime factorization of 72405 in exponential form is:

72405 = 3² × 5¹ × 1609¹

Step-3: Factors of 72396

List of positive integer factors of 72396 that divides 72396 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2011, 4022, 6033, 8044, 12066, 18099, 24132, 36198

Step-4: Factors of 72405

List of positive integer factors of 72405 that divides 72396 without a remainder.

1, 3, 5, 9, 15, 45, 1609, 4827, 8045, 14481, 24135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72396 and 72405. The biggest common factor number is the GCF number.
So the greatest common factor 72396 and 72405 is 9.

Also check out the Least Common Multiple of 72396 and 72405