What is the Greatest Common Factor of 55221 and 55233?

Greatest common factor (GCF) of 55221 and 55233 is 3.

GCF(55221,55233) = 3

We will now calculate the prime factors of 55221 and 55233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55221 and 55233.

How to find the GCF of 55221 and 55233?

We will first find the prime factorization of 55221 and 55233. After we will calculate the factors of 55221 and 55233 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 55233

Prime factors of 55233 are 3, 17, 19. Prime factorization of 55233 in exponential form is:

55233 = 3² × 17¹ × 19²

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 55233

List of positive integer factors of 55233 that divides 55221 without a remainder.

1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 361, 969, 1083, 2907, 3249, 6137, 18411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55221 and 55233. The biggest common factor number is the GCF number.
So the greatest common factor 55221 and 55233 is 3.

Also check out the Least Common Multiple of 55221 and 55233