What is the Greatest Common Factor of 18480 and 18484?

Greatest common factor (GCF) of 18480 and 18484 is 4.

GCF(18480,18484) = 4

We will now calculate the prime factors of 18480 and 18484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18480 and 18484.

How to find the GCF of 18480 and 18484?

We will first find the prime factorization of 18480 and 18484. After we will calculate the factors of 18480 and 18484 and find the biggest common factor number .

Step-1: Prime Factorization of 18480

Prime factors of 18480 are 2, 3, 5, 7, 11. Prime factorization of 18480 in exponential form is:

18480 = 2⁴ × 3¹ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 18484

Prime factors of 18484 are 2, 4621. Prime factorization of 18484 in exponential form is:

18484 = 2² × 4621¹

Step-3: Factors of 18480

List of positive integer factors of 18480 that divides 18480 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 48, 55, 56, 60, 66, 70, 77, 80, 84, 88, 105, 110, 112, 120, 132, 140, 154, 165, 168, 176, 210, 220, 231, 240, 264, 280, 308, 330, 336, 385, 420, 440, 462, 528, 560, 616, 660, 770, 840, 880, 924, 1155, 1232, 1320, 1540, 1680, 1848, 2310, 2640, 3080, 3696, 4620, 6160, 9240

Step-4: Factors of 18484

List of positive integer factors of 18484 that divides 18480 without a remainder.

1, 2, 4, 4621, 9242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18480 and 18484. The biggest common factor number is the GCF number.
So the greatest common factor 18480 and 18484 is 4.

Also check out the Least Common Multiple of 18480 and 18484