What is the Greatest Common Factor of 18480 and 18490?

Greatest common factor (GCF) of 18480 and 18490 is 10.

GCF(18480,18490) = 10

We will now calculate the prime factors of 18480 and 18490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18480 and 18490.

How to find the GCF of 18480 and 18490?

We will first find the prime factorization of 18480 and 18490. After we will calculate the factors of 18480 and 18490 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 18490

Prime factors of 18490 are 2, 5, 43. Prime factorization of 18490 in exponential form is:

18490 = 2¹ × 5¹ × 43²

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 18490

List of positive integer factors of 18490 that divides 18480 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430, 1849, 3698, 9245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18480 and 18490. The biggest common factor number is the GCF number.
So the greatest common factor 18480 and 18490 is 10.

Also check out the Least Common Multiple of 18480 and 18490