What is the Greatest Common Factor of 36243 and 36258?

Greatest common factor (GCF) of 36243 and 36258 is 3.

GCF(36243,36258) = 3

We will now calculate the prime factors of 36243 and 36258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36243 and 36258.

How to find the GCF of 36243 and 36258?

We will first find the prime factorization of 36243 and 36258. After we will calculate the factors of 36243 and 36258 and find the biggest common factor number .

Step-1: Prime Factorization of 36243

Prime factors of 36243 are 3, 4027. Prime factorization of 36243 in exponential form is:

36243 = 3² × 4027¹

Step-2: Prime Factorization of 36258

Prime factors of 36258 are 2, 3, 6043. Prime factorization of 36258 in exponential form is:

36258 = 2¹ × 3¹ × 6043¹

Step-3: Factors of 36243

List of positive integer factors of 36243 that divides 36243 without a remainder.

1, 3, 9, 4027, 12081

Step-4: Factors of 36258

List of positive integer factors of 36258 that divides 36243 without a remainder.

1, 2, 3, 6, 6043, 12086, 18129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36243 and 36258. The biggest common factor number is the GCF number.
So the greatest common factor 36243 and 36258 is 3.

Also check out the Least Common Multiple of 36243 and 36258