What is the Greatest Common Factor of 55440 and 55452?

Greatest common factor (GCF) of 55440 and 55452 is 12.

GCF(55440,55452) = 12

We will now calculate the prime factors of 55440 and 55452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55440 and 55452.

How to find the GCF of 55440 and 55452?

We will first find the prime factorization of 55440 and 55452. After we will calculate the factors of 55440 and 55452 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 55452

Prime factors of 55452 are 2, 3, 4621. Prime factorization of 55452 in exponential form is:

55452 = 2² × 3¹ × 4621¹

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 55452

List of positive integer factors of 55452 that divides 55440 without a remainder.

1, 2, 3, 4, 6, 12, 4621, 9242, 13863, 18484, 27726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55440 and 55452. The biggest common factor number is the GCF number.
So the greatest common factor 55440 and 55452 is 12.

Also check out the Least Common Multiple of 55440 and 55452