What is the Greatest Common Factor of 28044 and 28056?

Greatest common factor (GCF) of 28044 and 28056 is 12.

GCF(28044,28056) = 12

We will now calculate the prime factors of 28044 and 28056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28044 and 28056.

How to find the GCF of 28044 and 28056?

We will first find the prime factorization of 28044 and 28056. After we will calculate the factors of 28044 and 28056 and find the biggest common factor number .

Step-1: Prime Factorization of 28044

Prime factors of 28044 are 2, 3, 19, 41. Prime factorization of 28044 in exponential form is:

28044 = 2² × 3² × 19¹ × 41¹

Step-2: Prime Factorization of 28056

Prime factors of 28056 are 2, 3, 7, 167. Prime factorization of 28056 in exponential form is:

28056 = 2³ × 3¹ × 7¹ × 167¹

Step-3: Factors of 28044

List of positive integer factors of 28044 that divides 28044 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 41, 57, 76, 82, 114, 123, 164, 171, 228, 246, 342, 369, 492, 684, 738, 779, 1476, 1558, 2337, 3116, 4674, 7011, 9348, 14022

Step-4: Factors of 28056

List of positive integer factors of 28056 that divides 28044 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 167, 168, 334, 501, 668, 1002, 1169, 1336, 2004, 2338, 3507, 4008, 4676, 7014, 9352, 14028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28044 and 28056. The biggest common factor number is the GCF number.
So the greatest common factor 28044 and 28056 is 12.

Also check out the Least Common Multiple of 28044 and 28056