What is the Greatest Common Factor of 25857 and 25863?

Greatest common factor (GCF) of 25857 and 25863 is 3.

GCF(25857,25863) = 3

We will now calculate the prime factors of 25857 and 25863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25857 and 25863.

How to find the GCF of 25857 and 25863?

We will first find the prime factorization of 25857 and 25863. After we will calculate the factors of 25857 and 25863 and find the biggest common factor number .

Step-1: Prime Factorization of 25857

Prime factors of 25857 are 3, 13, 17. Prime factorization of 25857 in exponential form is:

25857 = 3² × 13² × 17¹

Step-2: Prime Factorization of 25863

Prime factors of 25863 are 3, 37, 233. Prime factorization of 25863 in exponential form is:

25863 = 3¹ × 37¹ × 233¹

Step-3: Factors of 25857

List of positive integer factors of 25857 that divides 25857 without a remainder.

1, 3, 9, 13, 17, 39, 51, 117, 153, 169, 221, 507, 663, 1521, 1989, 2873, 8619

Step-4: Factors of 25863

List of positive integer factors of 25863 that divides 25857 without a remainder.

1, 3, 37, 111, 233, 699, 8621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25857 and 25863. The biggest common factor number is the GCF number.
So the greatest common factor 25857 and 25863 is 3.

Also check out the Least Common Multiple of 25857 and 25863