What is the Greatest Common Factor of 18480 and 18500?

Greatest common factor (GCF) of 18480 and 18500 is 20.

GCF(18480,18500) = 20

We will now calculate the prime factors of 18480 and 18500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18480 and 18500.

How to find the GCF of 18480 and 18500?

We will first find the prime factorization of 18480 and 18500. After we will calculate the factors of 18480 and 18500 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 18500

Prime factors of 18500 are 2, 5, 37. Prime factorization of 18500 in exponential form is:

18500 = 2² × 5³ × 37¹

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 18500

List of positive integer factors of 18500 that divides 18480 without a remainder.

1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 125, 148, 185, 250, 370, 500, 740, 925, 1850, 3700, 4625, 9250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18480 and 18500. The biggest common factor number is the GCF number.
So the greatest common factor 18480 and 18500 is 20.

Also check out the Least Common Multiple of 18480 and 18500