What is the Greatest Common Factor of 5184 and 5196?

Greatest common factor (GCF) of 5184 and 5196 is 12.

GCF(5184,5196) = 12

We will now calculate the prime factors of 5184 and 5196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5184 and 5196.

How to find the GCF of 5184 and 5196?

We will first find the prime factorization of 5184 and 5196. After we will calculate the factors of 5184 and 5196 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 5196

Prime factors of 5196 are 2, 3, 433. Prime factorization of 5196 in exponential form is:

5196 = 2² × 3¹ × 433¹

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 5196

List of positive integer factors of 5196 that divides 5184 without a remainder.

1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5184 and 5196. The biggest common factor number is the GCF number.
So the greatest common factor 5184 and 5196 is 12.

Also check out the Least Common Multiple of 5184 and 5196