What is the Greatest Common Factor of 36234 and 36249?

Greatest common factor (GCF) of 36234 and 36249 is 3.

GCF(36234,36249) = 3

We will now calculate the prime factors of 36234 and 36249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36234 and 36249.

How to find the GCF of 36234 and 36249?

We will first find the prime factorization of 36234 and 36249. After we will calculate the factors of 36234 and 36249 and find the biggest common factor number .

Step-1: Prime Factorization of 36234

Prime factors of 36234 are 2, 3, 11, 61. Prime factorization of 36234 in exponential form is:

36234 = 2¹ × 3³ × 11¹ × 61¹

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 36234

List of positive integer factors of 36234 that divides 36234 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 61, 66, 99, 122, 183, 198, 297, 366, 549, 594, 671, 1098, 1342, 1647, 2013, 3294, 4026, 6039, 12078, 18117

Step-4: Factors of 36249

List of positive integer factors of 36249 that divides 36234 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36234 and 36249. The biggest common factor number is the GCF number.
So the greatest common factor 36234 and 36249 is 3.

Also check out the Least Common Multiple of 36234 and 36249