What is the Greatest Common Factor of 25865 and 25875?

Greatest common factor (GCF) of 25865 and 25875 is 5.

GCF(25865,25875) = 5

We will now calculate the prime factors of 25865 and 25875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25865 and 25875.

How to find the GCF of 25865 and 25875?

We will first find the prime factorization of 25865 and 25875. After we will calculate the factors of 25865 and 25875 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 25875

Prime factors of 25875 are 3, 5, 23. Prime factorization of 25875 in exponential form is:

25875 = 3² × 5³ × 23¹

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 25875

List of positive integer factors of 25875 that divides 25865 without a remainder.

1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 125, 207, 225, 345, 375, 575, 1035, 1125, 1725, 2875, 5175, 8625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25865 and 25875. The biggest common factor number is the GCF number.
So the greatest common factor 25865 and 25875 is 5.

Also check out the Least Common Multiple of 25865 and 25875