What is the Greatest Common Factor of 25865 and 25873?

Greatest common factor (GCF) of 25865 and 25873 is 1.

GCF(25865,25873) = 1

We will now calculate the prime factors of 25865 and 25873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25865 and 25873.

How to find the GCF of 25865 and 25873?

We will first find the prime factorization of 25865 and 25873. After we will calculate the factors of 25865 and 25873 and find the biggest common factor number .

Step-1: Prime Factorization of 25865

Prime factors of 25865 are 5, 7, 739. Prime factorization of 25865 in exponential form is:

25865 = 5¹ × 7¹ × 739¹

Step-2: Prime Factorization of 25873

Prime factors of 25873 are 25873. Prime factorization of 25873 in exponential form is:

25873 = 25873¹

Step-3: Factors of 25865

List of positive integer factors of 25865 that divides 25865 without a remainder.

1, 5, 7, 35, 739, 3695, 5173

Step-4: Factors of 25873

List of positive integer factors of 25873 that divides 25865 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25865 and 25873. The biggest common factor number is the GCF number.
So the greatest common factor 25865 and 25873 is 1.

Also check out the Least Common Multiple of 25865 and 25873