What is the Greatest Common Factor of 72592 and 72609?

Greatest common factor (GCF) of 72592 and 72609 is 1.

GCF(72592,72609) = 1

We will now calculate the prime factors of 72592 and 72609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72592 and 72609.

How to find the GCF of 72592 and 72609?

We will first find the prime factorization of 72592 and 72609. After we will calculate the factors of 72592 and 72609 and find the biggest common factor number .

Step-1: Prime Factorization of 72592

Prime factors of 72592 are 2, 13, 349. Prime factorization of 72592 in exponential form is:

72592 = 2⁴ × 13¹ × 349¹

Step-2: Prime Factorization of 72609

Prime factors of 72609 are 3, 24203. Prime factorization of 72609 in exponential form is:

72609 = 3¹ × 24203¹

Step-3: Factors of 72592

List of positive integer factors of 72592 that divides 72592 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 349, 698, 1396, 2792, 4537, 5584, 9074, 18148, 36296

Step-4: Factors of 72609

List of positive integer factors of 72609 that divides 72592 without a remainder.

1, 3, 24203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72592 and 72609. The biggest common factor number is the GCF number.
So the greatest common factor 72592 and 72609 is 1.

Also check out the Least Common Multiple of 72592 and 72609