What is the Greatest Common Factor of 36230 and 36243?

Greatest common factor (GCF) of 36230 and 36243 is 1.

GCF(36230,36243) = 1

We will now calculate the prime factors of 36230 and 36243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36230 and 36243.

How to find the GCF of 36230 and 36243?

We will first find the prime factorization of 36230 and 36243. After we will calculate the factors of 36230 and 36243 and find the biggest common factor number .

Step-1: Prime Factorization of 36230

Prime factors of 36230 are 2, 5, 3623. Prime factorization of 36230 in exponential form is:

36230 = 2¹ × 5¹ × 3623¹

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 36230

List of positive integer factors of 36230 that divides 36230 without a remainder.

1, 2, 5, 10, 3623, 7246, 18115

Step-4: Factors of 36243

List of positive integer factors of 36243 that divides 36230 without a remainder.

1, 3, 9, 4027, 12081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36230 and 36243. The biggest common factor number is the GCF number.
So the greatest common factor 36230 and 36243 is 1.

Also check out the Least Common Multiple of 36230 and 36243