What is the Greatest Common Factor of 25582 and 25588?

Greatest common factor (GCF) of 25582 and 25588 is 2.

GCF(25582,25588) = 2

We will now calculate the prime factors of 25582 and 25588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25582 and 25588.

How to find the GCF of 25582 and 25588?

We will first find the prime factorization of 25582 and 25588. After we will calculate the factors of 25582 and 25588 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 25588

Prime factors of 25588 are 2, 6397. Prime factorization of 25588 in exponential form is:

25588 = 2² × 6397¹

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 25588

List of positive integer factors of 25588 that divides 25582 without a remainder.

1, 2, 4, 6397, 12794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25582 and 25588. The biggest common factor number is the GCF number.
So the greatest common factor 25582 and 25588 is 2.

Also check out the Least Common Multiple of 25582 and 25588