What is the Greatest Common Factor of 55284 and 55296?

Greatest common factor (GCF) of 55284 and 55296 is 12.

GCF(55284,55296) = 12

We will now calculate the prime factors of 55284 and 55296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55284 and 55296.

How to find the GCF of 55284 and 55296?

We will first find the prime factorization of 55284 and 55296. After we will calculate the factors of 55284 and 55296 and find the biggest common factor number .

Step-1: Prime Factorization of 55284

Prime factors of 55284 are 2, 3, 17, 271. Prime factorization of 55284 in exponential form is:

55284 = 2² × 3¹ × 17¹ × 271¹

Step-2: Prime Factorization of 55296

Prime factors of 55296 are 2, 3. Prime factorization of 55296 in exponential form is:

55296 = 2¹¹ × 3³

Step-3: Factors of 55284

List of positive integer factors of 55284 that divides 55284 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 271, 542, 813, 1084, 1626, 3252, 4607, 9214, 13821, 18428, 27642

Step-4: Factors of 55296

List of positive integer factors of 55296 that divides 55284 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 512, 576, 768, 864, 1024, 1152, 1536, 1728, 2048, 2304, 3072, 3456, 4608, 6144, 6912, 9216, 13824, 18432, 27648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55284 and 55296. The biggest common factor number is the GCF number.
So the greatest common factor 55284 and 55296 is 12.

Also check out the Least Common Multiple of 55284 and 55296