What is the Greatest Common Factor of 55422 and 55440?

Greatest common factor (GCF) of 55422 and 55440 is 18.

GCF(55422,55440) = 18

We will now calculate the prime factors of 55422 and 55440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55422 and 55440.

How to find the GCF of 55422 and 55440?

We will first find the prime factorization of 55422 and 55440. After we will calculate the factors of 55422 and 55440 and find the biggest common factor number .

Step-1: Prime Factorization of 55422

Prime factors of 55422 are 2, 3, 3079. Prime factorization of 55422 in exponential form is:

55422 = 2¹ × 3² × 3079¹

Step-2: 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-3: Factors of 55422

List of positive integer factors of 55422 that divides 55422 without a remainder.

1, 2, 3, 6, 9, 18, 3079, 6158, 9237, 18474, 27711

Step-4: Factors of 55440

List of positive integer factors of 55440 that divides 55422 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55422 and 55440. The biggest common factor number is the GCF number.
So the greatest common factor 55422 and 55440 is 18.

Also check out the Least Common Multiple of 55422 and 55440