What is the Greatest Common Factor of 5184 and 5199?

Greatest common factor (GCF) of 5184 and 5199 is 3.

GCF(5184,5199) = 3

We will now calculate the prime factors of 5184 and 5199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5184 and 5199.

How to find the GCF of 5184 and 5199?

We will first find the prime factorization of 5184 and 5199. After we will calculate the factors of 5184 and 5199 and find the biggest common factor number .

Step-1: Prime Factorization of 5184

Prime factors of 5184 are 2, 3. Prime factorization of 5184 in exponential form is:

5184 = 2⁶ × 3⁴

Step-2: Prime Factorization of 5199

Prime factors of 5199 are 3, 1733. Prime factorization of 5199 in exponential form is:

5199 = 3¹ × 1733¹

Step-3: Factors of 5184

List of positive integer factors of 5184 that divides 5184 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592

Step-4: Factors of 5199

List of positive integer factors of 5199 that divides 5184 without a remainder.

1, 3, 1733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5184 and 5199. The biggest common factor number is the GCF number.
So the greatest common factor 5184 and 5199 is 3.

Also check out the Least Common Multiple of 5184 and 5199