What is the Greatest Common Factor of 52194 and 52209?

Greatest common factor (GCF) of 52194 and 52209 is 3.

GCF(52194,52209) = 3

We will now calculate the prime factors of 52194 and 52209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52194 and 52209.

How to find the GCF of 52194 and 52209?

We will first find the prime factorization of 52194 and 52209. After we will calculate the factors of 52194 and 52209 and find the biggest common factor number .

Step-1: Prime Factorization of 52194

Prime factors of 52194 are 2, 3, 8699. Prime factorization of 52194 in exponential form is:

52194 = 2¹ × 3¹ × 8699¹

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 52194

List of positive integer factors of 52194 that divides 52194 without a remainder.

1, 2, 3, 6, 8699, 17398, 26097

Step-4: Factors of 52209

List of positive integer factors of 52209 that divides 52194 without a remainder.

1, 3, 9, 5801, 17403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52194 and 52209. The biggest common factor number is the GCF number.
So the greatest common factor 52194 and 52209 is 3.

Also check out the Least Common Multiple of 52194 and 52209