What is the Greatest Common Factor of 55296 and 55302?

Greatest common factor (GCF) of 55296 and 55302 is 6.

GCF(55296,55302) = 6

We will now calculate the prime factors of 55296 and 55302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55296 and 55302.

How to find the GCF of 55296 and 55302?

We will first find the prime factorization of 55296 and 55302. After we will calculate the factors of 55296 and 55302 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 55302

Prime factors of 55302 are 2, 3, 13, 709. Prime factorization of 55302 in exponential form is:

55302 = 2¹ × 3¹ × 13¹ × 709¹

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 55302

List of positive integer factors of 55302 that divides 55296 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 709, 1418, 2127, 4254, 9217, 18434, 27651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55296 and 55302. The biggest common factor number is the GCF number.
So the greatest common factor 55296 and 55302 is 6.

Also check out the Least Common Multiple of 55296 and 55302