What is the Greatest Common Factor of 25506 and 25510?

Greatest common factor (GCF) of 25506 and 25510 is 2.

GCF(25506,25510) = 2

We will now calculate the prime factors of 25506 and 25510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25506 and 25510.

How to find the GCF of 25506 and 25510?

We will first find the prime factorization of 25506 and 25510. After we will calculate the factors of 25506 and 25510 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 25510

Prime factors of 25510 are 2, 5, 2551. Prime factorization of 25510 in exponential form is:

25510 = 2¹ × 5¹ × 2551¹

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 25510

List of positive integer factors of 25510 that divides 25506 without a remainder.

1, 2, 5, 10, 2551, 5102, 12755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25506 and 25510. The biggest common factor number is the GCF number.
So the greatest common factor 25506 and 25510 is 2.

Also check out the Least Common Multiple of 25506 and 25510