What is the Greatest Common Factor of 55044 and 55052?

Greatest common factor (GCF) of 55044 and 55052 is 4.

GCF(55044,55052) = 4

We will now calculate the prime factors of 55044 and 55052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55044 and 55052.

How to find the GCF of 55044 and 55052?

We will first find the prime factorization of 55044 and 55052. After we will calculate the factors of 55044 and 55052 and find the biggest common factor number .

Step-1: Prime Factorization of 55044

Prime factors of 55044 are 2, 3, 11, 139. Prime factorization of 55044 in exponential form is:

55044 = 2² × 3² × 11¹ × 139¹

Step-2: Prime Factorization of 55052

Prime factors of 55052 are 2, 13763. Prime factorization of 55052 in exponential form is:

55052 = 2² × 13763¹

Step-3: Factors of 55044

List of positive integer factors of 55044 that divides 55044 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 139, 198, 278, 396, 417, 556, 834, 1251, 1529, 1668, 2502, 3058, 4587, 5004, 6116, 9174, 13761, 18348, 27522

Step-4: Factors of 55052

List of positive integer factors of 55052 that divides 55044 without a remainder.

1, 2, 4, 13763, 27526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55044 and 55052. The biggest common factor number is the GCF number.
So the greatest common factor 55044 and 55052 is 4.

Also check out the Least Common Multiple of 55044 and 55052