What is the Greatest Common Factor of 10589 and 10608?

Greatest common factor (GCF) of 10589 and 10608 is 1.

GCF(10589,10608) = 1

We will now calculate the prime factors of 10589 and 10608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10589 and 10608.

How to find the GCF of 10589 and 10608?

We will first find the prime factorization of 10589 and 10608. After we will calculate the factors of 10589 and 10608 and find the biggest common factor number .

Step-1: Prime Factorization of 10589

Prime factors of 10589 are 10589. Prime factorization of 10589 in exponential form is:

10589 = 10589¹

Step-2: Prime Factorization of 10608

Prime factors of 10608 are 2, 3, 13, 17. Prime factorization of 10608 in exponential form is:

10608 = 2⁴ × 3¹ × 13¹ × 17¹

Step-3: Factors of 10589

List of positive integer factors of 10589 that divides 10589 without a remainder.

Step-4: Factors of 10608

List of positive integer factors of 10608 that divides 10589 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 17, 24, 26, 34, 39, 48, 51, 52, 68, 78, 102, 104, 136, 156, 204, 208, 221, 272, 312, 408, 442, 624, 663, 816, 884, 1326, 1768, 2652, 3536, 5304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10589 and 10608. The biggest common factor number is the GCF number.
So the greatest common factor 10589 and 10608 is 1.

Also check out the Least Common Multiple of 10589 and 10608