What is the Greatest Common Factor of 55430 and 55440?

Greatest common factor (GCF) of 55430 and 55440 is 10.

GCF(55430,55440) = 10

We will now calculate the prime factors of 55430 and 55440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55430 and 55440.

How to find the GCF of 55430 and 55440?

We will first find the prime factorization of 55430 and 55440. After we will calculate the factors of 55430 and 55440 and find the biggest common factor number .

Step-1: Prime Factorization of 55430

Prime factors of 55430 are 2, 5, 23, 241. Prime factorization of 55430 in exponential form is:

55430 = 2¹ × 5¹ × 23¹ × 241¹

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 55430

List of positive integer factors of 55430 that divides 55430 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 241, 482, 1205, 2410, 5543, 11086, 27715

Step-4: Factors of 55440

List of positive integer factors of 55440 that divides 55430 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 55430 and 55440. The biggest common factor number is the GCF number.
So the greatest common factor 55430 and 55440 is 10.

Also check out the Least Common Multiple of 55430 and 55440