What is the Greatest Common Factor of 18240 and 18258?

Greatest common factor (GCF) of 18240 and 18258 is 6.

GCF(18240,18258) = 6

We will now calculate the prime factors of 18240 and 18258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18240 and 18258.

How to find the GCF of 18240 and 18258?

We will first find the prime factorization of 18240 and 18258. After we will calculate the factors of 18240 and 18258 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 18258

Prime factors of 18258 are 2, 3, 17, 179. Prime factorization of 18258 in exponential form is:

18258 = 2¹ × 3¹ × 17¹ × 179¹

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 18258

List of positive integer factors of 18258 that divides 18240 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 179, 358, 537, 1074, 3043, 6086, 9129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18240 and 18258. The biggest common factor number is the GCF number.
So the greatest common factor 18240 and 18258 is 6.

Also check out the Least Common Multiple of 18240 and 18258