What is the Greatest Common Factor of 2597 and 2605?

Greatest common factor (GCF) of 2597 and 2605 is 1.

GCF(2597,2605) = 1

We will now calculate the prime factors of 2597 and 2605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2597 and 2605.

How to find the GCF of 2597 and 2605?

We will first find the prime factorization of 2597 and 2605. After we will calculate the factors of 2597 and 2605 and find the biggest common factor number .

Step-1: Prime Factorization of 2597

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

2597 = 7² × 53¹

Step-2: Prime Factorization of 2605

Prime factors of 2605 are 5, 521. Prime factorization of 2605 in exponential form is:

2605 = 5¹ × 521¹

Step-3: Factors of 2597

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

1, 7, 49, 53, 371

Step-4: Factors of 2605

List of positive integer factors of 2605 that divides 2597 without a remainder.

1, 5, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2597 and 2605. The biggest common factor number is the GCF number.
So the greatest common factor 2597 and 2605 is 1.

Also check out the Least Common Multiple of 2597 and 2605