What is the Greatest Common Factor of 25875 and 25881?

Greatest common factor (GCF) of 25875 and 25881 is 3.

GCF(25875,25881) = 3

We will now calculate the prime factors of 25875 and 25881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25875 and 25881.

How to find the GCF of 25875 and 25881?

We will first find the prime factorization of 25875 and 25881. After we will calculate the factors of 25875 and 25881 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25881

Prime factors of 25881 are 3, 8627. Prime factorization of 25881 in exponential form is:

25881 = 3¹ × 8627¹

Step-3: Factors of 25875

List of positive integer factors of 25875 that divides 25875 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

Step-4: Factors of 25881

List of positive integer factors of 25881 that divides 25875 without a remainder.

1, 3, 8627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25875 and 25881. The biggest common factor number is the GCF number.
So the greatest common factor 25875 and 25881 is 3.

Also check out the Least Common Multiple of 25875 and 25881