What is the Greatest Common Factor of 72505 and 72509?

Greatest common factor (GCF) of 72505 and 72509 is 1.

GCF(72505,72509) = 1

We will now calculate the prime factors of 72505 and 72509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72505 and 72509.

How to find the GCF of 72505 and 72509?

We will first find the prime factorization of 72505 and 72509. After we will calculate the factors of 72505 and 72509 and find the biggest common factor number .

Step-1: Prime Factorization of 72505

Prime factors of 72505 are 5, 17, 853. Prime factorization of 72505 in exponential form is:

72505 = 5¹ × 17¹ × 853¹

Step-2: Prime Factorization of 72509

Prime factors of 72509 are 31, 2339. Prime factorization of 72509 in exponential form is:

72509 = 31¹ × 2339¹

Step-3: Factors of 72505

List of positive integer factors of 72505 that divides 72505 without a remainder.

1, 5, 17, 85, 853, 4265, 14501

Step-4: Factors of 72509

List of positive integer factors of 72509 that divides 72505 without a remainder.

1, 31, 2339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72505 and 72509. The biggest common factor number is the GCF number.
So the greatest common factor 72505 and 72509 is 1.

Also check out the Least Common Multiple of 72505 and 72509