What is the Greatest Common Factor of 55512 and 55527?

Greatest common factor (GCF) of 55512 and 55527 is 3.

GCF(55512,55527) = 3

We will now calculate the prime factors of 55512 and 55527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55512 and 55527.

How to find the GCF of 55512 and 55527?

We will first find the prime factorization of 55512 and 55527. After we will calculate the factors of 55512 and 55527 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 55527

Prime factors of 55527 are 3, 83, 223. Prime factorization of 55527 in exponential form is:

55527 = 3¹ × 83¹ × 223¹

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 55527

List of positive integer factors of 55527 that divides 55512 without a remainder.

1, 3, 83, 223, 249, 669, 18509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55512 and 55527. The biggest common factor number is the GCF number.
So the greatest common factor 55512 and 55527 is 3.

Also check out the Least Common Multiple of 55512 and 55527