What is the Greatest Common Factor of 25355 and 25366?

Greatest common factor (GCF) of 25355 and 25366 is 11.

GCF(25355,25366) = 11

We will now calculate the prime factors of 25355 and 25366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25355 and 25366.

How to find the GCF of 25355 and 25366?

We will first find the prime factorization of 25355 and 25366. After we will calculate the factors of 25355 and 25366 and find the biggest common factor number .

Step-1: Prime Factorization of 25355

Prime factors of 25355 are 5, 11, 461. Prime factorization of 25355 in exponential form is:

25355 = 5¹ × 11¹ × 461¹

Step-2: Prime Factorization of 25366

Prime factors of 25366 are 2, 11, 1153. Prime factorization of 25366 in exponential form is:

25366 = 2¹ × 11¹ × 1153¹

Step-3: Factors of 25355

List of positive integer factors of 25355 that divides 25355 without a remainder.

1, 5, 11, 55, 461, 2305, 5071

Step-4: Factors of 25366

List of positive integer factors of 25366 that divides 25355 without a remainder.

1, 2, 11, 22, 1153, 2306, 12683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25355 and 25366. The biggest common factor number is the GCF number.
So the greatest common factor 25355 and 25366 is 11.

Also check out the Least Common Multiple of 25355 and 25366