What is the Greatest Common Factor of 22589 and 22608?

Greatest common factor (GCF) of 22589 and 22608 is 1.

GCF(22589,22608) = 1

We will now calculate the prime factors of 22589 and 22608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22589 and 22608.

How to find the GCF of 22589 and 22608?

We will first find the prime factorization of 22589 and 22608. After we will calculate the factors of 22589 and 22608 and find the biggest common factor number .

Step-1: Prime Factorization of 22589

Prime factors of 22589 are 7, 461. Prime factorization of 22589 in exponential form is:

22589 = 7² × 461¹

Step-2: Prime Factorization of 22608

Prime factors of 22608 are 2, 3, 157. Prime factorization of 22608 in exponential form is:

22608 = 2⁴ × 3² × 157¹

Step-3: Factors of 22589

List of positive integer factors of 22589 that divides 22589 without a remainder.

1, 7, 49, 461, 3227

Step-4: Factors of 22608

List of positive integer factors of 22608 that divides 22589 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 157, 314, 471, 628, 942, 1256, 1413, 1884, 2512, 2826, 3768, 5652, 7536, 11304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22589 and 22608. The biggest common factor number is the GCF number.
So the greatest common factor 22589 and 22608 is 1.

Also check out the Least Common Multiple of 22589 and 22608