What is the Greatest Common Factor of 55440 and 55459?

Greatest common factor (GCF) of 55440 and 55459 is 1.

GCF(55440,55459) = 1

We will now calculate the prime factors of 55440 and 55459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55440 and 55459.

How to find the GCF of 55440 and 55459?

We will first find the prime factorization of 55440 and 55459. After we will calculate the factors of 55440 and 55459 and find the biggest common factor number .

Step-1: Prime Factorization of 55440

Prime factors of 55440 are 2, 3, 5, 7, 11. Prime factorization of 55440 in exponential form is:

55440 = 2⁴ × 3² × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 55459

Prime factors of 55459 are 31, 1789. Prime factorization of 55459 in exponential form is:

55459 = 31¹ × 1789¹

Step-3: Factors of 55440

List of positive integer factors of 55440 that divides 55440 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 20, 21, 22, 24, 28, 30, 33, 35, 36, 40, 42, 44, 45, 48, 55, 56, 60, 63, 66, 70, 72, 77, 80, 84, 88, 90, 99, 105, 110, 112, 120, 126, 132, 140, 144, 154, 165, 168, 176, 180, 198, 210, 220, 231, 240, 252, 264, 280, 308, 315, 330, 336, 360, 385, 396, 420, 440, 462, 495, 504, 528, 560, 616, 630, 660, 693, 720, 770, 792, 840, 880, 924, 990, 1008, 1155, 1232, 1260, 1320, 1386, 1540, 1584, 1680, 1848, 1980, 2310, 2520, 2640, 2772, 3080, 3465, 3696, 3960, 4620, 5040, 5544, 6160, 6930, 7920, 9240, 11088, 13860, 18480, 27720

Step-4: Factors of 55459

List of positive integer factors of 55459 that divides 55440 without a remainder.

1, 31, 1789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55440 and 55459. The biggest common factor number is the GCF number.
So the greatest common factor 55440 and 55459 is 1.

Also check out the Least Common Multiple of 55440 and 55459