What is the Greatest Common Factor of 2585 and 2589?

Greatest common factor (GCF) of 2585 and 2589 is 1.

GCF(2585,2589) = 1

We will now calculate the prime factors of 2585 and 2589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2585 and 2589.

How to find the GCF of 2585 and 2589?

We will first find the prime factorization of 2585 and 2589. After we will calculate the factors of 2585 and 2589 and find the biggest common factor number .

Step-1: Prime Factorization of 2585

Prime factors of 2585 are 5, 11, 47. Prime factorization of 2585 in exponential form is:

2585 = 5¹ × 11¹ × 47¹

Step-2: Prime Factorization of 2589

Prime factors of 2589 are 3, 863. Prime factorization of 2589 in exponential form is:

2589 = 3¹ × 863¹

Step-3: Factors of 2585

List of positive integer factors of 2585 that divides 2585 without a remainder.

1, 5, 11, 47, 55, 235, 517

Step-4: Factors of 2589

List of positive integer factors of 2589 that divides 2585 without a remainder.

1, 3, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2585 and 2589. The biggest common factor number is the GCF number.
So the greatest common factor 2585 and 2589 is 1.

Also check out the Least Common Multiple of 2585 and 2589