What is the Greatest Common Factor of 25886 and 25890?

Greatest common factor (GCF) of 25886 and 25890 is 2.

GCF(25886,25890) = 2

We will now calculate the prime factors of 25886 and 25890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25886 and 25890.

How to find the GCF of 25886 and 25890?

We will first find the prime factorization of 25886 and 25890. After we will calculate the factors of 25886 and 25890 and find the biggest common factor number .

Step-1: Prime Factorization of 25886

Prime factors of 25886 are 2, 7, 43. Prime factorization of 25886 in exponential form is:

25886 = 2¹ × 7¹ × 43²

Step-2: Prime Factorization of 25890

Prime factors of 25890 are 2, 3, 5, 863. Prime factorization of 25890 in exponential form is:

25890 = 2¹ × 3¹ × 5¹ × 863¹

Step-3: Factors of 25886

List of positive integer factors of 25886 that divides 25886 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602, 1849, 3698, 12943

Step-4: Factors of 25890

List of positive integer factors of 25890 that divides 25886 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 863, 1726, 2589, 4315, 5178, 8630, 12945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25886 and 25890. The biggest common factor number is the GCF number.
So the greatest common factor 25886 and 25890 is 2.

Also check out the Least Common Multiple of 25886 and 25890