What is the Greatest Common Factor of 55044 and 55056?

Greatest common factor (GCF) of 55044 and 55056 is 12.

GCF(55044,55056) = 12

We will now calculate the prime factors of 55044 and 55056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55044 and 55056.

How to find the GCF of 55044 and 55056?

We will first find the prime factorization of 55044 and 55056. After we will calculate the factors of 55044 and 55056 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 55056

Prime factors of 55056 are 2, 3, 31, 37. Prime factorization of 55056 in exponential form is:

55056 = 2⁴ × 3¹ × 31¹ × 37¹

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 55056

List of positive integer factors of 55056 that divides 55044 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 37, 48, 62, 74, 93, 111, 124, 148, 186, 222, 248, 296, 372, 444, 496, 592, 744, 888, 1147, 1488, 1776, 2294, 3441, 4588, 6882, 9176, 13764, 18352, 27528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55044 and 55056. The biggest common factor number is the GCF number.
So the greatest common factor 55044 and 55056 is 12.

Also check out the Least Common Multiple of 55044 and 55056