What is the Greatest Common Factor of 55296 and 55307?

Greatest common factor (GCF) of 55296 and 55307 is 1.

GCF(55296,55307) = 1

We will now calculate the prime factors of 55296 and 55307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55296 and 55307.

How to find the GCF of 55296 and 55307?

We will first find the prime factorization of 55296 and 55307. After we will calculate the factors of 55296 and 55307 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 55307

Prime factors of 55307 are 7, 7901. Prime factorization of 55307 in exponential form is:

55307 = 7¹ × 7901¹

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 55307

List of positive integer factors of 55307 that divides 55296 without a remainder.

1, 7, 7901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55296 and 55307. The biggest common factor number is the GCF number.
So the greatest common factor 55296 and 55307 is 1.

Also check out the Least Common Multiple of 55296 and 55307