What is the Greatest Common Factor of 5184 and 5198?

Greatest common factor (GCF) of 5184 and 5198 is 2.

GCF(5184,5198) = 2

We will now calculate the prime factors of 5184 and 5198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5184 and 5198.

How to find the GCF of 5184 and 5198?

We will first find the prime factorization of 5184 and 5198. After we will calculate the factors of 5184 and 5198 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 5198

Prime factors of 5198 are 2, 23, 113. Prime factorization of 5198 in exponential form is:

5198 = 2¹ × 23¹ × 113¹

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 5198

List of positive integer factors of 5198 that divides 5184 without a remainder.

1, 2, 23, 46, 113, 226, 2599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5184 and 5198. The biggest common factor number is the GCF number.
So the greatest common factor 5184 and 5198 is 2.

Also check out the Least Common Multiple of 5184 and 5198