What is the Greatest Common Factor of 25191 and 25209?

Greatest common factor (GCF) of 25191 and 25209 is 9.

GCF(25191,25209) = 9

We will now calculate the prime factors of 25191 and 25209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25191 and 25209.

How to find the GCF of 25191 and 25209?

We will first find the prime factorization of 25191 and 25209. After we will calculate the factors of 25191 and 25209 and find the biggest common factor number .

Step-1: Prime Factorization of 25191

Prime factors of 25191 are 3, 311. Prime factorization of 25191 in exponential form is:

25191 = 3⁴ × 311¹

Step-2: Prime Factorization of 25209

Prime factors of 25209 are 3, 2801. Prime factorization of 25209 in exponential form is:

25209 = 3² × 2801¹

Step-3: Factors of 25191

List of positive integer factors of 25191 that divides 25191 without a remainder.

1, 3, 9, 27, 81, 311, 933, 2799, 8397

Step-4: Factors of 25209

List of positive integer factors of 25209 that divides 25191 without a remainder.

1, 3, 9, 2801, 8403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25191 and 25209. The biggest common factor number is the GCF number.
So the greatest common factor 25191 and 25209 is 9.

Also check out the Least Common Multiple of 25191 and 25209