What is the Greatest Common Factor of 25839 and 25851?

Greatest common factor (GCF) of 25839 and 25851 is 3.

GCF(25839,25851) = 3

We will now calculate the prime factors of 25839 and 25851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25839 and 25851.

How to find the GCF of 25839 and 25851?

We will first find the prime factorization of 25839 and 25851. After we will calculate the factors of 25839 and 25851 and find the biggest common factor number .

Step-1: Prime Factorization of 25839

Prime factors of 25839 are 3, 11, 29. Prime factorization of 25839 in exponential form is:

25839 = 3⁴ × 11¹ × 29¹

Step-2: 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-3: Factors of 25839

List of positive integer factors of 25839 that divides 25839 without a remainder.

1, 3, 9, 11, 27, 29, 33, 81, 87, 99, 261, 297, 319, 783, 891, 957, 2349, 2871, 8613

Step-4: Factors of 25851

List of positive integer factors of 25851 that divides 25839 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25839 and 25851. The biggest common factor number is the GCF number.
So the greatest common factor 25839 and 25851 is 3.

Also check out the Least Common Multiple of 25839 and 25851