What is the Greatest Common Factor of 25588 and 25606?

Greatest common factor (GCF) of 25588 and 25606 is 2.

GCF(25588,25606) = 2

We will now calculate the prime factors of 25588 and 25606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25588 and 25606.

How to find the GCF of 25588 and 25606?

We will first find the prime factorization of 25588 and 25606. After we will calculate the factors of 25588 and 25606 and find the biggest common factor number .

Step-1: Prime Factorization of 25588

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

25588 = 2² × 6397¹

Step-2: Prime Factorization of 25606

Prime factors of 25606 are 2, 7, 31, 59. Prime factorization of 25606 in exponential form is:

25606 = 2¹ × 7¹ × 31¹ × 59¹

Step-3: Factors of 25588

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

1, 2, 4, 6397, 12794

Step-4: Factors of 25606

List of positive integer factors of 25606 that divides 25588 without a remainder.

1, 2, 7, 14, 31, 59, 62, 118, 217, 413, 434, 826, 1829, 3658, 12803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25588 and 25606. The biggest common factor number is the GCF number.
So the greatest common factor 25588 and 25606 is 2.

Also check out the Least Common Multiple of 25588 and 25606