What is the Greatest Common Factor of 72593 and 72608?

Greatest common factor (GCF) of 72593 and 72608 is 1.

GCF(72593,72608) = 1

We will now calculate the prime factors of 72593 and 72608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72593 and 72608.

How to find the GCF of 72593 and 72608?

We will first find the prime factorization of 72593 and 72608. After we will calculate the factors of 72593 and 72608 and find the biggest common factor number .

Step-1: Prime Factorization of 72593

Prime factors of 72593 are 229, 317. Prime factorization of 72593 in exponential form is:

72593 = 229¹ × 317¹

Step-2: Prime Factorization of 72608

Prime factors of 72608 are 2, 2269. Prime factorization of 72608 in exponential form is:

72608 = 2⁵ × 2269¹

Step-3: Factors of 72593

List of positive integer factors of 72593 that divides 72593 without a remainder.

1, 229, 317

Step-4: Factors of 72608

List of positive integer factors of 72608 that divides 72593 without a remainder.

1, 2, 4, 8, 16, 32, 2269, 4538, 9076, 18152, 36304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72593 and 72608. The biggest common factor number is the GCF number.
So the greatest common factor 72593 and 72608 is 1.

Also check out the Least Common Multiple of 72593 and 72608