What is the Greatest Common Factor of 25582 and 25587?

Greatest common factor (GCF) of 25582 and 25587 is 1.

GCF(25582,25587) = 1

We will now calculate the prime factors of 25582 and 25587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25582 and 25587.

How to find the GCF of 25582 and 25587?

We will first find the prime factorization of 25582 and 25587. After we will calculate the factors of 25582 and 25587 and find the biggest common factor number .

Step-1: Prime Factorization of 25582

Prime factors of 25582 are 2, 12791. Prime factorization of 25582 in exponential form is:

25582 = 2¹ × 12791¹

Step-2: Prime Factorization of 25587

Prime factors of 25587 are 3, 2843. Prime factorization of 25587 in exponential form is:

25587 = 3² × 2843¹

Step-3: Factors of 25582

List of positive integer factors of 25582 that divides 25582 without a remainder.

1, 2, 12791

Step-4: Factors of 25587

List of positive integer factors of 25587 that divides 25582 without a remainder.

1, 3, 9, 2843, 8529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25582 and 25587. The biggest common factor number is the GCF number.
So the greatest common factor 25582 and 25587 is 1.

Also check out the Least Common Multiple of 25582 and 25587