What is the Greatest Common Factor of 5184 and 5193?

Greatest common factor (GCF) of 5184 and 5193 is 9.

GCF(5184,5193) = 9

We will now calculate the prime factors of 5184 and 5193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5184 and 5193.

How to find the GCF of 5184 and 5193?

We will first find the prime factorization of 5184 and 5193. After we will calculate the factors of 5184 and 5193 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 5193

Prime factors of 5193 are 3, 577. Prime factorization of 5193 in exponential form is:

5193 = 3² × 577¹

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 5193

List of positive integer factors of 5193 that divides 5184 without a remainder.

1, 3, 9, 577, 1731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5184 and 5193. The biggest common factor number is the GCF number.
So the greatest common factor 5184 and 5193 is 9.

Also check out the Least Common Multiple of 5184 and 5193