What is the Greatest Common Factor of 55296 and 55310?

Greatest common factor (GCF) of 55296 and 55310 is 2.

GCF(55296,55310) = 2

We will now calculate the prime factors of 55296 and 55310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55296 and 55310.

How to find the GCF of 55296 and 55310?

We will first find the prime factorization of 55296 and 55310. After we will calculate the factors of 55296 and 55310 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 55310

Prime factors of 55310 are 2, 5, 5531. Prime factorization of 55310 in exponential form is:

55310 = 2¹ × 5¹ × 5531¹

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 55310

List of positive integer factors of 55310 that divides 55296 without a remainder.

1, 2, 5, 10, 5531, 11062, 27655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55296 and 55310. The biggest common factor number is the GCF number.
So the greatest common factor 55296 and 55310 is 2.

Also check out the Least Common Multiple of 55296 and 55310