What is the Greatest Common Factor of 18249 and 18258?

Greatest common factor (GCF) of 18249 and 18258 is 3.

GCF(18249,18258) = 3

We will now calculate the prime factors of 18249 and 18258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18249 and 18258.

How to find the GCF of 18249 and 18258?

We will first find the prime factorization of 18249 and 18258. After we will calculate the factors of 18249 and 18258 and find the biggest common factor number .

Step-1: 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-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 18249

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

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

Step-4: Factors of 18258

List of positive integer factors of 18258 that divides 18249 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 18249 and 18258. The biggest common factor number is the GCF number.
So the greatest common factor 18249 and 18258 is 3.

Also check out the Least Common Multiple of 18249 and 18258