What is the Greatest Common Factor of 72405 and 72417?

Greatest common factor (GCF) of 72405 and 72417 is 3.

GCF(72405,72417) = 3

We will now calculate the prime factors of 72405 and 72417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72405 and 72417.

How to find the GCF of 72405 and 72417?

We will first find the prime factorization of 72405 and 72417. After we will calculate the factors of 72405 and 72417 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72417

Prime factors of 72417 are 3, 101, 239. Prime factorization of 72417 in exponential form is:

72417 = 3¹ × 101¹ × 239¹

Step-3: Factors of 72405

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

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

Step-4: Factors of 72417

List of positive integer factors of 72417 that divides 72405 without a remainder.

1, 3, 101, 239, 303, 717, 24139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72405 and 72417. The biggest common factor number is the GCF number.
So the greatest common factor 72405 and 72417 is 3.

Also check out the Least Common Multiple of 72405 and 72417