What is the Greatest Common Factor of 25489 and 25506?

Greatest common factor (GCF) of 25489 and 25506 is 1.

GCF(25489,25506) = 1

We will now calculate the prime factors of 25489 and 25506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25489 and 25506.

How to find the GCF of 25489 and 25506?

We will first find the prime factorization of 25489 and 25506. After we will calculate the factors of 25489 and 25506 and find the biggest common factor number .

Step-1: Prime Factorization of 25489

Prime factors of 25489 are 71, 359. Prime factorization of 25489 in exponential form is:

25489 = 71¹ × 359¹

Step-2: 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-3: Factors of 25489

List of positive integer factors of 25489 that divides 25489 without a remainder.

1, 71, 359

Step-4: Factors of 25506

List of positive integer factors of 25506 that divides 25489 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25489 and 25506. The biggest common factor number is the GCF number.
So the greatest common factor 25489 and 25506 is 1.

Also check out the Least Common Multiple of 25489 and 25506