What is the Greatest Common Factor of 36249 and 36267?

Greatest common factor (GCF) of 36249 and 36267 is 3.

GCF(36249,36267) = 3

We will now calculate the prime factors of 36249 and 36267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36249 and 36267.

How to find the GCF of 36249 and 36267?

We will first find the prime factorization of 36249 and 36267. After we will calculate the factors of 36249 and 36267 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 36267

Prime factors of 36267 are 3, 7, 11, 157. Prime factorization of 36267 in exponential form is:

36267 = 3¹ × 7¹ × 11¹ × 157¹

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 36267

List of positive integer factors of 36267 that divides 36249 without a remainder.

1, 3, 7, 11, 21, 33, 77, 157, 231, 471, 1099, 1727, 3297, 5181, 12089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36249 and 36267. The biggest common factor number is the GCF number.
So the greatest common factor 36249 and 36267 is 3.

Also check out the Least Common Multiple of 36249 and 36267