What is the Greatest Common Factor of 72388 and 72405?

Greatest common factor (GCF) of 72388 and 72405 is 1.

GCF(72388,72405) = 1

We will now calculate the prime factors of 72388 and 72405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72388 and 72405.

How to find the GCF of 72388 and 72405?

We will first find the prime factorization of 72388 and 72405. After we will calculate the factors of 72388 and 72405 and find the biggest common factor number .

Step-1: Prime Factorization of 72388

Prime factors of 72388 are 2, 18097. Prime factorization of 72388 in exponential form is:

72388 = 2² × 18097¹

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 72388

List of positive integer factors of 72388 that divides 72388 without a remainder.

1, 2, 4, 18097, 36194

Step-4: Factors of 72405

List of positive integer factors of 72405 that divides 72388 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 72388 and 72405. The biggest common factor number is the GCF number.
So the greatest common factor 72388 and 72405 is 1.

Also check out the Least Common Multiple of 72388 and 72405