What is the Greatest Common Factor of 18480 and 18495?

Greatest common factor (GCF) of 18480 and 18495 is 15.

GCF(18480,18495) = 15

We will now calculate the prime factors of 18480 and 18495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18480 and 18495.

How to find the GCF of 18480 and 18495?

We will first find the prime factorization of 18480 and 18495. After we will calculate the factors of 18480 and 18495 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 18495

Prime factors of 18495 are 3, 5, 137. Prime factorization of 18495 in exponential form is:

18495 = 3³ × 5¹ × 137¹

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 18495

List of positive integer factors of 18495 that divides 18480 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 137, 411, 685, 1233, 2055, 3699, 6165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18480 and 18495. The biggest common factor number is the GCF number.
So the greatest common factor 18480 and 18495 is 15.

Also check out the Least Common Multiple of 18480 and 18495