What is the Greatest Common Factor of 36192 and 36204?

Greatest common factor (GCF) of 36192 and 36204 is 12.

GCF(36192,36204) = 12

We will now calculate the prime factors of 36192 and 36204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36192 and 36204.

How to find the GCF of 36192 and 36204?

We will first find the prime factorization of 36192 and 36204. After we will calculate the factors of 36192 and 36204 and find the biggest common factor number .

Step-1: Prime Factorization of 36192

Prime factors of 36192 are 2, 3, 13, 29. Prime factorization of 36192 in exponential form is:

36192 = 2⁵ × 3¹ × 13¹ × 29¹

Step-2: Prime Factorization of 36204

Prime factors of 36204 are 2, 3, 7, 431. Prime factorization of 36204 in exponential form is:

36204 = 2² × 3¹ × 7¹ × 431¹

Step-3: Factors of 36192

List of positive integer factors of 36192 that divides 36192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 29, 32, 39, 48, 52, 58, 78, 87, 96, 104, 116, 156, 174, 208, 232, 312, 348, 377, 416, 464, 624, 696, 754, 928, 1131, 1248, 1392, 1508, 2262, 2784, 3016, 4524, 6032, 9048, 12064, 18096

Step-4: Factors of 36204

List of positive integer factors of 36204 that divides 36192 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 431, 862, 1293, 1724, 2586, 3017, 5172, 6034, 9051, 12068, 18102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36192 and 36204. The biggest common factor number is the GCF number.
So the greatest common factor 36192 and 36204 is 12.

Also check out the Least Common Multiple of 36192 and 36204