What is the Greatest Common Factor of 18240 and 18249?

Greatest common factor (GCF) of 18240 and 18249 is 3.

GCF(18240,18249) = 3

We will now calculate the prime factors of 18240 and 18249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18240 and 18249.

How to find the GCF of 18240 and 18249?

We will first find the prime factorization of 18240 and 18249. After we will calculate the factors of 18240 and 18249 and find the biggest common factor number .

Step-1: Prime Factorization of 18240

Prime factors of 18240 are 2, 3, 5, 19. Prime factorization of 18240 in exponential form is:

18240 = 2⁶ × 3¹ × 5¹ × 19¹

Step-2: Prime Factorization of 18249

Prime factors of 18249 are 3, 7, 11, 79. Prime factorization of 18249 in exponential form is:

18249 = 3¹ × 7¹ × 11¹ × 79¹

Step-3: Factors of 18240

List of positive integer factors of 18240 that divides 18240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 64, 76, 80, 95, 96, 114, 120, 152, 160, 190, 192, 228, 240, 285, 304, 320, 380, 456, 480, 570, 608, 760, 912, 960, 1140, 1216, 1520, 1824, 2280, 3040, 3648, 4560, 6080, 9120

Step-4: Factors of 18249

List of positive integer factors of 18249 that divides 18240 without a remainder.

1, 3, 7, 11, 21, 33, 77, 79, 231, 237, 553, 869, 1659, 2607, 6083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18240 and 18249. The biggest common factor number is the GCF number.
So the greatest common factor 18240 and 18249 is 3.

Also check out the Least Common Multiple of 18240 and 18249