What is the Greatest Common Factor of 2585 and 2597?

Greatest common factor (GCF) of 2585 and 2597 is 1.

GCF(2585,2597) = 1

We will now calculate the prime factors of 2585 and 2597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2585 and 2597.

How to find the GCF of 2585 and 2597?

We will first find the prime factorization of 2585 and 2597. After we will calculate the factors of 2585 and 2597 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 2597

Prime factors of 2597 are 7, 53. Prime factorization of 2597 in exponential form is:

2597 = 7² × 53¹

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 2597

List of positive integer factors of 2597 that divides 2585 without a remainder.

1, 7, 49, 53, 371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2585 and 2597. The biggest common factor number is the GCF number.
So the greatest common factor 2585 and 2597 is 1.

Also check out the Least Common Multiple of 2585 and 2597