What is the Greatest Common Factor of 55512 and 55521?

Greatest common factor (GCF) of 55512 and 55521 is 9.

GCF(55512,55521) = 9

We will now calculate the prime factors of 55512 and 55521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55512 and 55521.

How to find the GCF of 55512 and 55521?

We will first find the prime factorization of 55512 and 55521. After we will calculate the factors of 55512 and 55521 and find the biggest common factor number .

Step-1: Prime Factorization of 55512

Prime factors of 55512 are 2, 3, 257. Prime factorization of 55512 in exponential form is:

55512 = 2³ × 3³ × 257¹

Step-2: Prime Factorization of 55521

Prime factors of 55521 are 3, 31, 199. Prime factorization of 55521 in exponential form is:

55521 = 3² × 31¹ × 199¹

Step-3: Factors of 55512

List of positive integer factors of 55512 that divides 55512 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 257, 514, 771, 1028, 1542, 2056, 2313, 3084, 4626, 6168, 6939, 9252, 13878, 18504, 27756

Step-4: Factors of 55521

List of positive integer factors of 55521 that divides 55512 without a remainder.

1, 3, 9, 31, 93, 199, 279, 597, 1791, 6169, 18507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55512 and 55521. The biggest common factor number is the GCF number.
So the greatest common factor 55512 and 55521 is 9.

Also check out the Least Common Multiple of 55512 and 55521