What is the Greatest Common Factor of 52209 and 52221?

Greatest common factor (GCF) of 52209 and 52221 is 3.

GCF(52209,52221) = 3

We will now calculate the prime factors of 52209 and 52221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52209 and 52221.

How to find the GCF of 52209 and 52221?

We will first find the prime factorization of 52209 and 52221. After we will calculate the factors of 52209 and 52221 and find the biggest common factor number .

Step-1: Prime Factorization of 52209

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

52209 = 3² × 5801¹

Step-2: Prime Factorization of 52221

Prime factors of 52221 are 3, 13, 103. Prime factorization of 52221 in exponential form is:

52221 = 3¹ × 13² × 103¹

Step-3: Factors of 52209

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

1, 3, 9, 5801, 17403

Step-4: Factors of 52221

List of positive integer factors of 52221 that divides 52209 without a remainder.

1, 3, 13, 39, 103, 169, 309, 507, 1339, 4017, 17407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52209 and 52221. The biggest common factor number is the GCF number.
So the greatest common factor 52209 and 52221 is 3.

Also check out the Least Common Multiple of 52209 and 52221