What is the Greatest Common Factor of 52212 and 52227?

Greatest common factor (GCF) of 52212 and 52227 is 3.

GCF(52212,52227) = 3

We will now calculate the prime factors of 52212 and 52227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52212 and 52227.

How to find the GCF of 52212 and 52227?

We will first find the prime factorization of 52212 and 52227. After we will calculate the factors of 52212 and 52227 and find the biggest common factor number .

Step-1: Prime Factorization of 52212

Prime factors of 52212 are 2, 3, 19, 229. Prime factorization of 52212 in exponential form is:

52212 = 2² × 3¹ × 19¹ × 229¹

Step-2: Prime Factorization of 52227

Prime factors of 52227 are 3, 7, 829. Prime factorization of 52227 in exponential form is:

52227 = 3² × 7¹ × 829¹

Step-3: Factors of 52212

List of positive integer factors of 52212 that divides 52212 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 229, 458, 687, 916, 1374, 2748, 4351, 8702, 13053, 17404, 26106

Step-4: Factors of 52227

List of positive integer factors of 52227 that divides 52212 without a remainder.

1, 3, 7, 9, 21, 63, 829, 2487, 5803, 7461, 17409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52212 and 52227. The biggest common factor number is the GCF number.
So the greatest common factor 52212 and 52227 is 3.

Also check out the Least Common Multiple of 52212 and 52227