What is the Greatest Common Factor of 25556 and 25562?

Greatest common factor (GCF) of 25556 and 25562 is 2.

GCF(25556,25562) = 2

We will now calculate the prime factors of 25556 and 25562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25556 and 25562.

How to find the GCF of 25556 and 25562?

We will first find the prime factorization of 25556 and 25562. After we will calculate the factors of 25556 and 25562 and find the biggest common factor number .

Step-1: Prime Factorization of 25556

Prime factors of 25556 are 2, 6389. Prime factorization of 25556 in exponential form is:

25556 = 2² × 6389¹

Step-2: Prime Factorization of 25562

Prime factors of 25562 are 2, 12781. Prime factorization of 25562 in exponential form is:

25562 = 2¹ × 12781¹

Step-3: Factors of 25556

List of positive integer factors of 25556 that divides 25556 without a remainder.

1, 2, 4, 6389, 12778

Step-4: Factors of 25562

List of positive integer factors of 25562 that divides 25556 without a remainder.

1, 2, 12781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25556 and 25562. The biggest common factor number is the GCF number.
So the greatest common factor 25556 and 25562 is 2.

Also check out the Least Common Multiple of 25556 and 25562