What is the Greatest Common Factor of 55233 and 55252?

Greatest common factor (GCF) of 55233 and 55252 is 19.

GCF(55233,55252) = 19

We will now calculate the prime factors of 55233 and 55252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55233 and 55252.

How to find the GCF of 55233 and 55252?

We will first find the prime factorization of 55233 and 55252. After we will calculate the factors of 55233 and 55252 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55252

Prime factors of 55252 are 2, 19, 727. Prime factorization of 55252 in exponential form is:

55252 = 2² × 19¹ × 727¹

Step-3: Factors of 55233

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

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

Step-4: Factors of 55252

List of positive integer factors of 55252 that divides 55233 without a remainder.

1, 2, 4, 19, 38, 76, 727, 1454, 2908, 13813, 27626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55233 and 55252. The biggest common factor number is the GCF number.
So the greatest common factor 55233 and 55252 is 19.

Also check out the Least Common Multiple of 55233 and 55252