What is the Greatest Common Factor of 36249 and 36266?

Greatest common factor (GCF) of 36249 and 36266 is 1.

GCF(36249,36266) = 1

We will now calculate the prime factors of 36249 and 36266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36249 and 36266.

How to find the GCF of 36249 and 36266?

We will first find the prime factorization of 36249 and 36266. After we will calculate the factors of 36249 and 36266 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36266

Prime factors of 36266 are 2, 18133. Prime factorization of 36266 in exponential form is:

36266 = 2¹ × 18133¹

Step-3: Factors of 36249

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

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

Step-4: Factors of 36266

List of positive integer factors of 36266 that divides 36249 without a remainder.

1, 2, 18133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36249 and 36266. The biggest common factor number is the GCF number.
So the greatest common factor 36249 and 36266 is 1.

Also check out the Least Common Multiple of 36249 and 36266