What is the Greatest Common Factor of 55280 and 55296?

Greatest common factor (GCF) of 55280 and 55296 is 16.

GCF(55280,55296) = 16

We will now calculate the prime factors of 55280 and 55296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55280 and 55296.

How to find the GCF of 55280 and 55296?

We will first find the prime factorization of 55280 and 55296. After we will calculate the factors of 55280 and 55296 and find the biggest common factor number .

Step-1: Prime Factorization of 55280

Prime factors of 55280 are 2, 5, 691. Prime factorization of 55280 in exponential form is:

55280 = 2⁴ × 5¹ × 691¹

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 55280

List of positive integer factors of 55280 that divides 55280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 691, 1382, 2764, 3455, 5528, 6910, 11056, 13820, 27640

Step-4: Factors of 55296

List of positive integer factors of 55296 that divides 55280 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 55280 and 55296. The biggest common factor number is the GCF number.
So the greatest common factor 55280 and 55296 is 16.

Also check out the Least Common Multiple of 55280 and 55296