What is the Greatest Common Factor of 5184 and 5204?

Greatest common factor (GCF) of 5184 and 5204 is 4.

GCF(5184,5204) = 4

We will now calculate the prime factors of 5184 and 5204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5184 and 5204.

How to find the GCF of 5184 and 5204?

We will first find the prime factorization of 5184 and 5204. After we will calculate the factors of 5184 and 5204 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 5204

Prime factors of 5204 are 2, 1301. Prime factorization of 5204 in exponential form is:

5204 = 2² × 1301¹

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 5204

List of positive integer factors of 5204 that divides 5184 without a remainder.

1, 2, 4, 1301, 2602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5184 and 5204. The biggest common factor number is the GCF number.
So the greatest common factor 5184 and 5204 is 4.

Also check out the Least Common Multiple of 5184 and 5204