What is the Greatest Common Factor of 25506 and 25522?

Greatest common factor (GCF) of 25506 and 25522 is 2.

GCF(25506,25522) = 2

We will now calculate the prime factors of 25506 and 25522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25506 and 25522.

How to find the GCF of 25506 and 25522?

We will first find the prime factorization of 25506 and 25522. After we will calculate the factors of 25506 and 25522 and find the biggest common factor number .

Step-1: Prime Factorization of 25506

Prime factors of 25506 are 2, 3, 13, 109. Prime factorization of 25506 in exponential form is:

25506 = 2¹ × 3² × 13¹ × 109¹

Step-2: Prime Factorization of 25522

Prime factors of 25522 are 2, 7, 1823. Prime factorization of 25522 in exponential form is:

25522 = 2¹ × 7¹ × 1823¹

Step-3: Factors of 25506

List of positive integer factors of 25506 that divides 25506 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 109, 117, 218, 234, 327, 654, 981, 1417, 1962, 2834, 4251, 8502, 12753

Step-4: Factors of 25522

List of positive integer factors of 25522 that divides 25506 without a remainder.

1, 2, 7, 14, 1823, 3646, 12761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25506 and 25522. The biggest common factor number is the GCF number.
So the greatest common factor 25506 and 25522 is 2.

Also check out the Least Common Multiple of 25506 and 25522