What is the Greatest Common Factor of 55344 and 55350?

Greatest common factor (GCF) of 55344 and 55350 is 6.

GCF(55344,55350) = 6

We will now calculate the prime factors of 55344 and 55350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55344 and 55350.

How to find the GCF of 55344 and 55350?

We will first find the prime factorization of 55344 and 55350. After we will calculate the factors of 55344 and 55350 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55350

Prime factors of 55350 are 2, 3, 5, 41. Prime factorization of 55350 in exponential form is:

55350 = 2¹ × 3³ × 5² × 41¹

Step-3: Factors of 55344

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

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

Step-4: Factors of 55350

List of positive integer factors of 55350 that divides 55344 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 41, 45, 50, 54, 75, 82, 90, 123, 135, 150, 205, 225, 246, 270, 369, 410, 450, 615, 675, 738, 1025, 1107, 1230, 1350, 1845, 2050, 2214, 3075, 3690, 5535, 6150, 9225, 11070, 18450, 27675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55344 and 55350. The biggest common factor number is the GCF number.
So the greatest common factor 55344 and 55350 is 6.

Also check out the Least Common Multiple of 55344 and 55350