What is the Greatest Common Factor of 55344 and 55360?

Greatest common factor (GCF) of 55344 and 55360 is 16.

GCF(55344,55360) = 16

We will now calculate the prime factors of 55344 and 55360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55344 and 55360.

How to find the GCF of 55344 and 55360?

We will first find the prime factorization of 55344 and 55360. After we will calculate the factors of 55344 and 55360 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 55360

Prime factors of 55360 are 2, 5, 173. Prime factorization of 55360 in exponential form is:

55360 = 2⁶ × 5¹ × 173¹

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 55360

List of positive integer factors of 55360 that divides 55344 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 173, 320, 346, 692, 865, 1384, 1730, 2768, 3460, 5536, 6920, 11072, 13840, 27680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55344 and 55360. The biggest common factor number is the GCF number.
So the greatest common factor 55344 and 55360 is 16.

Also check out the Least Common Multiple of 55344 and 55360