What is the Greatest Common Factor of 55440 and 55451?

Greatest common factor (GCF) of 55440 and 55451 is 11.

GCF(55440,55451) = 11

We will now calculate the prime factors of 55440 and 55451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55440 and 55451.

How to find the GCF of 55440 and 55451?

We will first find the prime factorization of 55440 and 55451. After we will calculate the factors of 55440 and 55451 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 55451

Prime factors of 55451 are 11, 71. Prime factorization of 55451 in exponential form is:

55451 = 11¹ × 71²

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 55451

List of positive integer factors of 55451 that divides 55440 without a remainder.

1, 11, 71, 781, 5041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55440 and 55451. The biggest common factor number is the GCF number.
So the greatest common factor 55440 and 55451 is 11.

Also check out the Least Common Multiple of 55440 and 55451