What is the Greatest Common Factor of 36348 and 36366?

Greatest common factor (GCF) of 36348 and 36366 is 6.

GCF(36348,36366) = 6

We will now calculate the prime factors of 36348 and 36366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36348 and 36366.

How to find the GCF of 36348 and 36366?

We will first find the prime factorization of 36348 and 36366. After we will calculate the factors of 36348 and 36366 and find the biggest common factor number .

Step-1: Prime Factorization of 36348

Prime factors of 36348 are 2, 3, 13, 233. Prime factorization of 36348 in exponential form is:

36348 = 2² × 3¹ × 13¹ × 233¹

Step-2: Prime Factorization of 36366

Prime factors of 36366 are 2, 3, 11, 19, 29. Prime factorization of 36366 in exponential form is:

36366 = 2¹ × 3¹ × 11¹ × 19¹ × 29¹

Step-3: Factors of 36348

List of positive integer factors of 36348 that divides 36348 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 233, 466, 699, 932, 1398, 2796, 3029, 6058, 9087, 12116, 18174

Step-4: Factors of 36366

List of positive integer factors of 36366 that divides 36348 without a remainder.

1, 2, 3, 6, 11, 19, 22, 29, 33, 38, 57, 58, 66, 87, 114, 174, 209, 319, 418, 551, 627, 638, 957, 1102, 1254, 1653, 1914, 3306, 6061, 12122, 18183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36348 and 36366. The biggest common factor number is the GCF number.
So the greatest common factor 36348 and 36366 is 6.

Also check out the Least Common Multiple of 36348 and 36366