What is the Greatest Common Factor of 52203 and 52221?

Greatest common factor (GCF) of 52203 and 52221 is 3.

GCF(52203,52221) = 3

We will now calculate the prime factors of 52203 and 52221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52203 and 52221.

How to find the GCF of 52203 and 52221?

We will first find the prime factorization of 52203 and 52221. After we will calculate the factors of 52203 and 52221 and find the biggest common factor number .

Step-1: Prime Factorization of 52203

Prime factors of 52203 are 3, 17401. Prime factorization of 52203 in exponential form is:

52203 = 3¹ × 17401¹

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 52203

List of positive integer factors of 52203 that divides 52203 without a remainder.

1, 3, 17401

Step-4: Factors of 52221

List of positive integer factors of 52221 that divides 52203 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 52203 and 52221. The biggest common factor number is the GCF number.
So the greatest common factor 52203 and 52221 is 3.

Also check out the Least Common Multiple of 52203 and 52221