What is the Greatest Common Factor of 25445 and 25459?

Greatest common factor (GCF) of 25445 and 25459 is 7.

GCF(25445,25459) = 7

We will now calculate the prime factors of 25445 and 25459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25445 and 25459.

How to find the GCF of 25445 and 25459?

We will first find the prime factorization of 25445 and 25459. After we will calculate the factors of 25445 and 25459 and find the biggest common factor number .

Step-1: Prime Factorization of 25445

Prime factors of 25445 are 5, 7, 727. Prime factorization of 25445 in exponential form is:

25445 = 5¹ × 7¹ × 727¹

Step-2: Prime Factorization of 25459

Prime factors of 25459 are 7, 3637. Prime factorization of 25459 in exponential form is:

25459 = 7¹ × 3637¹

Step-3: Factors of 25445

List of positive integer factors of 25445 that divides 25445 without a remainder.

1, 5, 7, 35, 727, 3635, 5089

Step-4: Factors of 25459

List of positive integer factors of 25459 that divides 25445 without a remainder.

1, 7, 3637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25445 and 25459. The biggest common factor number is the GCF number.
So the greatest common factor 25445 and 25459 is 7.

Also check out the Least Common Multiple of 25445 and 25459