What is the Greatest Common Factor of 18480 and 18498?

Greatest common factor (GCF) of 18480 and 18498 is 6.

GCF(18480,18498) = 6

We will now calculate the prime factors of 18480 and 18498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18480 and 18498.

How to find the GCF of 18480 and 18498?

We will first find the prime factorization of 18480 and 18498. After we will calculate the factors of 18480 and 18498 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 18498

Prime factors of 18498 are 2, 3, 3083. Prime factorization of 18498 in exponential form is:

18498 = 2¹ × 3¹ × 3083¹

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 18498

List of positive integer factors of 18498 that divides 18480 without a remainder.

1, 2, 3, 6, 3083, 6166, 9249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18480 and 18498. The biggest common factor number is the GCF number.
So the greatest common factor 18480 and 18498 is 6.

Also check out the Least Common Multiple of 18480 and 18498