What is the Greatest Common Factor of 36243 and 36249?

Greatest common factor (GCF) of 36243 and 36249 is 3.

GCF(36243,36249) = 3

We will now calculate the prime factors of 36243 and 36249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36243 and 36249.

How to find the GCF of 36243 and 36249?

We will first find the prime factorization of 36243 and 36249. After we will calculate the factors of 36243 and 36249 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 36249

Prime factors of 36249 are 3, 43, 281. Prime factorization of 36249 in exponential form is:

36249 = 3¹ × 43¹ × 281¹

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 36249

List of positive integer factors of 36249 that divides 36243 without a remainder.

1, 3, 43, 129, 281, 843, 12083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36243 and 36249. The biggest common factor number is the GCF number.
So the greatest common factor 36243 and 36249 is 3.

Also check out the Least Common Multiple of 36243 and 36249