What is the Greatest Common Factor of 55286 and 55296?

Greatest common factor (GCF) of 55286 and 55296 is 2.

GCF(55286,55296) = 2

We will now calculate the prime factors of 55286 and 55296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55286 and 55296.

How to find the GCF of 55286 and 55296?

We will first find the prime factorization of 55286 and 55296. After we will calculate the factors of 55286 and 55296 and find the biggest common factor number .

Step-1: Prime Factorization of 55286

Prime factors of 55286 are 2, 7, 11, 359. Prime factorization of 55286 in exponential form is:

55286 = 2¹ × 7¹ × 11¹ × 359¹

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 55286

List of positive integer factors of 55286 that divides 55286 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 359, 718, 2513, 3949, 5026, 7898, 27643

Step-4: Factors of 55296

List of positive integer factors of 55296 that divides 55286 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 55286 and 55296. The biggest common factor number is the GCF number.
So the greatest common factor 55286 and 55296 is 2.

Also check out the Least Common Multiple of 55286 and 55296