What is the Greatest Common Factor of 55296 and 55308?

Greatest common factor (GCF) of 55296 and 55308 is 12.

GCF(55296,55308) = 12

We will now calculate the prime factors of 55296 and 55308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55296 and 55308.

How to find the GCF of 55296 and 55308?

We will first find the prime factorization of 55296 and 55308. After we will calculate the factors of 55296 and 55308 and find the biggest common factor number .

Step-1: Prime Factorization of 55296

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

55296 = 2¹¹ × 3³

Step-2: Prime Factorization of 55308

Prime factors of 55308 are 2, 3, 11, 419. Prime factorization of 55308 in exponential form is:

55308 = 2² × 3¹ × 11¹ × 419¹

Step-3: Factors of 55296

List of positive integer factors of 55296 that divides 55296 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

Step-4: Factors of 55308

List of positive integer factors of 55308 that divides 55296 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 419, 838, 1257, 1676, 2514, 4609, 5028, 9218, 13827, 18436, 27654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55296 and 55308. The biggest common factor number is the GCF number.
So the greatest common factor 55296 and 55308 is 12.

Also check out the Least Common Multiple of 55296 and 55308