What is the Greatest Common Factor of 55440 and 55453?

Greatest common factor (GCF) of 55440 and 55453 is 1.

GCF(55440,55453) = 1

We will now calculate the prime factors of 55440 and 55453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55440 and 55453.

How to find the GCF of 55440 and 55453?

We will first find the prime factorization of 55440 and 55453. After we will calculate the factors of 55440 and 55453 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 55453

Prime factors of 55453 are 23, 2411. Prime factorization of 55453 in exponential form is:

55453 = 23¹ × 2411¹

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 55453

List of positive integer factors of 55453 that divides 55440 without a remainder.

1, 23, 2411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55440 and 55453. The biggest common factor number is the GCF number.
So the greatest common factor 55440 and 55453 is 1.

Also check out the Least Common Multiple of 55440 and 55453