What is the Greatest Common Factor of 5196 and 5208?

Greatest common factor (GCF) of 5196 and 5208 is 12.

GCF(5196,5208) = 12

We will now calculate the prime factors of 5196 and 5208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5196 and 5208.

How to find the GCF of 5196 and 5208?

We will first find the prime factorization of 5196 and 5208. After we will calculate the factors of 5196 and 5208 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5208

Prime factors of 5208 are 2, 3, 7, 31. Prime factorization of 5208 in exponential form is:

5208 = 2³ × 3¹ × 7¹ × 31¹

Step-3: Factors of 5196

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

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

Step-4: Factors of 5208

List of positive integer factors of 5208 that divides 5196 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62, 84, 93, 124, 168, 186, 217, 248, 372, 434, 651, 744, 868, 1302, 1736, 2604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5196 and 5208. The biggest common factor number is the GCF number.
So the greatest common factor 5196 and 5208 is 12.

Also check out the Least Common Multiple of 5196 and 5208