What is the Greatest Common Factor of 55827 and 55833?

Greatest common factor (GCF) of 55827 and 55833 is 3.

GCF(55827,55833) = 3

We will now calculate the prime factors of 55827 and 55833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55827 and 55833.

How to find the GCF of 55827 and 55833?

We will first find the prime factorization of 55827 and 55833. After we will calculate the factors of 55827 and 55833 and find the biggest common factor number .

Step-1: Prime Factorization of 55827

Prime factors of 55827 are 3, 6203. Prime factorization of 55827 in exponential form is:

55827 = 3² × 6203¹

Step-2: Prime Factorization of 55833

Prime factors of 55833 are 3, 37, 503. Prime factorization of 55833 in exponential form is:

55833 = 3¹ × 37¹ × 503¹

Step-3: Factors of 55827

List of positive integer factors of 55827 that divides 55827 without a remainder.

1, 3, 9, 6203, 18609

Step-4: Factors of 55833

List of positive integer factors of 55833 that divides 55827 without a remainder.

1, 3, 37, 111, 503, 1509, 18611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55827 and 55833. The biggest common factor number is the GCF number.
So the greatest common factor 55827 and 55833 is 3.

Also check out the Least Common Multiple of 55827 and 55833