What is the Greatest Common Factor of 36223 and 36234?

Greatest common factor (GCF) of 36223 and 36234 is 11.

GCF(36223,36234) = 11

We will now calculate the prime factors of 36223 and 36234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36223 and 36234.

How to find the GCF of 36223 and 36234?

We will first find the prime factorization of 36223 and 36234. After we will calculate the factors of 36223 and 36234 and find the biggest common factor number .

Step-1: Prime Factorization of 36223

Prime factors of 36223 are 11, 37, 89. Prime factorization of 36223 in exponential form is:

36223 = 11¹ × 37¹ × 89¹

Step-2: 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-3: Factors of 36223

List of positive integer factors of 36223 that divides 36223 without a remainder.

1, 11, 37, 89, 407, 979, 3293

Step-4: Factors of 36234

List of positive integer factors of 36234 that divides 36223 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36223 and 36234. The biggest common factor number is the GCF number.
So the greatest common factor 36223 and 36234 is 11.

Also check out the Least Common Multiple of 36223 and 36234