What is the Greatest Common Factor of 36231 and 36243?

Greatest common factor (GCF) of 36231 and 36243 is 3.

GCF(36231,36243) = 3

We will now calculate the prime factors of 36231 and 36243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36231 and 36243.

How to find the GCF of 36231 and 36243?

We will first find the prime factorization of 36231 and 36243. After we will calculate the factors of 36231 and 36243 and find the biggest common factor number .

Step-1: Prime Factorization of 36231

Prime factors of 36231 are 3, 13, 929. Prime factorization of 36231 in exponential form is:

36231 = 3¹ × 13¹ × 929¹

Step-2: Prime Factorization of 36243

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

36243 = 3² × 4027¹

Step-3: Factors of 36231

List of positive integer factors of 36231 that divides 36231 without a remainder.

1, 3, 13, 39, 929, 2787, 12077

Step-4: Factors of 36243

List of positive integer factors of 36243 that divides 36231 without a remainder.

1, 3, 9, 4027, 12081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36231 and 36243. The biggest common factor number is the GCF number.
So the greatest common factor 36231 and 36243 is 3.

Also check out the Least Common Multiple of 36231 and 36243