What is the Greatest Common Factor of 18258 and 18268?

Greatest common factor (GCF) of 18258 and 18268 is 2.

GCF(18258,18268) = 2

We will now calculate the prime factors of 18258 and 18268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18258 and 18268.

How to find the GCF of 18258 and 18268?

We will first find the prime factorization of 18258 and 18268. After we will calculate the factors of 18258 and 18268 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18268

Prime factors of 18268 are 2, 4567. Prime factorization of 18268 in exponential form is:

18268 = 2² × 4567¹

Step-3: Factors of 18258

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

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

Step-4: Factors of 18268

List of positive integer factors of 18268 that divides 18258 without a remainder.

1, 2, 4, 4567, 9134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18258 and 18268. The biggest common factor number is the GCF number.
So the greatest common factor 18258 and 18268 is 2.

Also check out the Least Common Multiple of 18258 and 18268