What is the Greatest Common Factor of 18258 and 18275?

Greatest common factor (GCF) of 18258 and 18275 is 17.

GCF(18258,18275) = 17

We will now calculate the prime factors of 18258 and 18275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18258 and 18275.

How to find the GCF of 18258 and 18275?

We will first find the prime factorization of 18258 and 18275. After we will calculate the factors of 18258 and 18275 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 18275

Prime factors of 18275 are 5, 17, 43. Prime factorization of 18275 in exponential form is:

18275 = 5² × 17¹ × 43¹

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 18275

List of positive integer factors of 18275 that divides 18258 without a remainder.

1, 5, 17, 25, 43, 85, 215, 425, 731, 1075, 3655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18258 and 18275. The biggest common factor number is the GCF number.
So the greatest common factor 18258 and 18275 is 17.

Also check out the Least Common Multiple of 18258 and 18275