What is the Greatest Common Factor of 5198 and 5218?

Greatest common factor (GCF) of 5198 and 5218 is 2.

GCF(5198,5218) = 2

We will now calculate the prime factors of 5198 and 5218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5198 and 5218.

How to find the GCF of 5198 and 5218?

We will first find the prime factorization of 5198 and 5218. After we will calculate the factors of 5198 and 5218 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5218

Prime factors of 5218 are 2, 2609. Prime factorization of 5218 in exponential form is:

5218 = 2¹ × 2609¹

Step-3: Factors of 5198

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

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

Step-4: Factors of 5218

List of positive integer factors of 5218 that divides 5198 without a remainder.

1, 2, 2609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5198 and 5218. The biggest common factor number is the GCF number.
So the greatest common factor 5198 and 5218 is 2.

Also check out the Least Common Multiple of 5198 and 5218