What is the Greatest Common Factor of 5198 and 5209?

Greatest common factor (GCF) of 5198 and 5209 is 1.

GCF(5198,5209) = 1

We will now calculate the prime factors of 5198 and 5209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5198 and 5209.

How to find the GCF of 5198 and 5209?

We will first find the prime factorization of 5198 and 5209. After we will calculate the factors of 5198 and 5209 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 5209

Prime factors of 5209 are 5209. Prime factorization of 5209 in exponential form is:

5209 = 5209¹

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 5209

List of positive integer factors of 5209 that divides 5198 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5198 and 5209. The biggest common factor number is the GCF number.
So the greatest common factor 5198 and 5209 is 1.

Also check out the Least Common Multiple of 5198 and 5209