What is the Greatest Common Factor of 52191 and 52209?

Greatest common factor (GCF) of 52191 and 52209 is 9.

GCF(52191,52209) = 9

We will now calculate the prime factors of 52191 and 52209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52191 and 52209.

How to find the GCF of 52191 and 52209?

We will first find the prime factorization of 52191 and 52209. After we will calculate the factors of 52191 and 52209 and find the biggest common factor number .

Step-1: Prime Factorization of 52191

Prime factors of 52191 are 3, 1933. Prime factorization of 52191 in exponential form is:

52191 = 3³ × 1933¹

Step-2: Prime Factorization of 52209

Prime factors of 52209 are 3, 5801. Prime factorization of 52209 in exponential form is:

52209 = 3² × 5801¹

Step-3: Factors of 52191

List of positive integer factors of 52191 that divides 52191 without a remainder.

1, 3, 9, 27, 1933, 5799, 17397

Step-4: Factors of 52209

List of positive integer factors of 52209 that divides 52191 without a remainder.

1, 3, 9, 5801, 17403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52191 and 52209. The biggest common factor number is the GCF number.
So the greatest common factor 52191 and 52209 is 9.

Also check out the Least Common Multiple of 52191 and 52209