What is the Greatest Common Factor of 55440 and 55450?

Greatest common factor (GCF) of 55440 and 55450 is 10.

GCF(55440,55450) = 10

We will now calculate the prime factors of 55440 and 55450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55440 and 55450.

How to find the GCF of 55440 and 55450?

We will first find the prime factorization of 55440 and 55450. After we will calculate the factors of 55440 and 55450 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 55450

Prime factors of 55450 are 2, 5, 1109. Prime factorization of 55450 in exponential form is:

55450 = 2¹ × 5² × 1109¹

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 55450

List of positive integer factors of 55450 that divides 55440 without a remainder.

1, 2, 5, 10, 25, 50, 1109, 2218, 5545, 11090, 27725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55440 and 55450. The biggest common factor number is the GCF number.
So the greatest common factor 55440 and 55450 is 10.

Also check out the Least Common Multiple of 55440 and 55450