What is the Greatest Common Factor of 25851 and 25866?

Greatest common factor (GCF) of 25851 and 25866 is 3.

GCF(25851,25866) = 3

We will now calculate the prime factors of 25851 and 25866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25851 and 25866.

How to find the GCF of 25851 and 25866?

We will first find the prime factorization of 25851 and 25866. After we will calculate the factors of 25851 and 25866 and find the biggest common factor number .

Step-1: Prime Factorization of 25851

Prime factors of 25851 are 3, 7, 1231. Prime factorization of 25851 in exponential form is:

25851 = 3¹ × 7¹ × 1231¹

Step-2: Prime Factorization of 25866

Prime factors of 25866 are 2, 3, 479. Prime factorization of 25866 in exponential form is:

25866 = 2¹ × 3³ × 479¹

Step-3: Factors of 25851

List of positive integer factors of 25851 that divides 25851 without a remainder.

1, 3, 7, 21, 1231, 3693, 8617

Step-4: Factors of 25866

List of positive integer factors of 25866 that divides 25851 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 479, 958, 1437, 2874, 4311, 8622, 12933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25851 and 25866. The biggest common factor number is the GCF number.
So the greatest common factor 25851 and 25866 is 3.

Also check out the Least Common Multiple of 25851 and 25866