What is the Greatest Common Factor of 55332 and 55344?

Greatest common factor (GCF) of 55332 and 55344 is 12.

GCF(55332,55344) = 12

We will now calculate the prime factors of 55332 and 55344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55332 and 55344.

How to find the GCF of 55332 and 55344?

We will first find the prime factorization of 55332 and 55344. After we will calculate the factors of 55332 and 55344 and find the biggest common factor number .

Step-1: Prime Factorization of 55332

Prime factors of 55332 are 2, 3, 29, 53. Prime factorization of 55332 in exponential form is:

55332 = 2² × 3² × 29¹ × 53¹

Step-2: Prime Factorization of 55344

Prime factors of 55344 are 2, 3, 1153. Prime factorization of 55344 in exponential form is:

55344 = 2⁴ × 3¹ × 1153¹

Step-3: Factors of 55332

List of positive integer factors of 55332 that divides 55332 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 53, 58, 87, 106, 116, 159, 174, 212, 261, 318, 348, 477, 522, 636, 954, 1044, 1537, 1908, 3074, 4611, 6148, 9222, 13833, 18444, 27666

Step-4: Factors of 55344

List of positive integer factors of 55344 that divides 55332 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1153, 2306, 3459, 4612, 6918, 9224, 13836, 18448, 27672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55332 and 55344. The biggest common factor number is the GCF number.
So the greatest common factor 55332 and 55344 is 12.

Also check out the Least Common Multiple of 55332 and 55344