What is the Greatest Common Factor of 55221 and 55227?

Greatest common factor (GCF) of 55221 and 55227 is 3.

GCF(55221,55227) = 3

We will now calculate the prime factors of 55221 and 55227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55221 and 55227.

How to find the GCF of 55221 and 55227?

We will first find the prime factorization of 55221 and 55227. After we will calculate the factors of 55221 and 55227 and find the biggest common factor number .

Step-1: Prime Factorization of 55221

Prime factors of 55221 are 3, 79, 233. Prime factorization of 55221 in exponential form is:

55221 = 3¹ × 79¹ × 233¹

Step-2: Prime Factorization of 55227

Prime factors of 55227 are 3, 41, 449. Prime factorization of 55227 in exponential form is:

55227 = 3¹ × 41¹ × 449¹

Step-3: Factors of 55221

List of positive integer factors of 55221 that divides 55221 without a remainder.

1, 3, 79, 233, 237, 699, 18407

Step-4: Factors of 55227

List of positive integer factors of 55227 that divides 55221 without a remainder.

1, 3, 41, 123, 449, 1347, 18409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55221 and 55227. The biggest common factor number is the GCF number.
So the greatest common factor 55221 and 55227 is 3.

Also check out the Least Common Multiple of 55221 and 55227