What is the Greatest Common Factor of 36177 and 36192?

Greatest common factor (GCF) of 36177 and 36192 is 3.

GCF(36177,36192) = 3

We will now calculate the prime factors of 36177 and 36192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36177 and 36192.

How to find the GCF of 36177 and 36192?

We will first find the prime factorization of 36177 and 36192. After we will calculate the factors of 36177 and 36192 and find the biggest common factor number .

Step-1: Prime Factorization of 36177

Prime factors of 36177 are 3, 31, 389. Prime factorization of 36177 in exponential form is:

36177 = 3¹ × 31¹ × 389¹

Step-2: 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-3: Factors of 36177

List of positive integer factors of 36177 that divides 36177 without a remainder.

1, 3, 31, 93, 389, 1167, 12059

Step-4: Factors of 36192

List of positive integer factors of 36192 that divides 36177 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36177 and 36192. The biggest common factor number is the GCF number.
So the greatest common factor 36177 and 36192 is 3.

Also check out the Least Common Multiple of 36177 and 36192