What is the Greatest Common Factor of 25894 and 25905?

Greatest common factor (GCF) of 25894 and 25905 is 11.

GCF(25894,25905) = 11

We will now calculate the prime factors of 25894 and 25905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25894 and 25905.

How to find the GCF of 25894 and 25905?

We will first find the prime factorization of 25894 and 25905. After we will calculate the factors of 25894 and 25905 and find the biggest common factor number .

Step-1: Prime Factorization of 25894

Prime factors of 25894 are 2, 11, 107. Prime factorization of 25894 in exponential form is:

25894 = 2¹ × 11² × 107¹

Step-2: Prime Factorization of 25905

Prime factors of 25905 are 3, 5, 11, 157. Prime factorization of 25905 in exponential form is:

25905 = 3¹ × 5¹ × 11¹ × 157¹

Step-3: Factors of 25894

List of positive integer factors of 25894 that divides 25894 without a remainder.

1, 2, 11, 22, 107, 121, 214, 242, 1177, 2354, 12947

Step-4: Factors of 25905

List of positive integer factors of 25905 that divides 25894 without a remainder.

1, 3, 5, 11, 15, 33, 55, 157, 165, 471, 785, 1727, 2355, 5181, 8635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25894 and 25905. The biggest common factor number is the GCF number.
So the greatest common factor 25894 and 25905 is 11.

Also check out the Least Common Multiple of 25894 and 25905