What is the Greatest Common Factor of 25570 and 25589?

Greatest common factor (GCF) of 25570 and 25589 is 1.

GCF(25570,25589) = 1

We will now calculate the prime factors of 25570 and 25589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25570 and 25589.

How to find the GCF of 25570 and 25589?

We will first find the prime factorization of 25570 and 25589. After we will calculate the factors of 25570 and 25589 and find the biggest common factor number .

Step-1: Prime Factorization of 25570

Prime factors of 25570 are 2, 5, 2557. Prime factorization of 25570 in exponential form is:

25570 = 2¹ × 5¹ × 2557¹

Step-2: Prime Factorization of 25589

Prime factors of 25589 are 25589. Prime factorization of 25589 in exponential form is:

25589 = 25589¹

Step-3: Factors of 25570

List of positive integer factors of 25570 that divides 25570 without a remainder.

1, 2, 5, 10, 2557, 5114, 12785

Step-4: Factors of 25589

List of positive integer factors of 25589 that divides 25570 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25570 and 25589. The biggest common factor number is the GCF number.
So the greatest common factor 25570 and 25589 is 1.

Also check out the Least Common Multiple of 25570 and 25589