What is the Greatest Common Factor of 5189 and 5198?

Greatest common factor (GCF) of 5189 and 5198 is 1.

GCF(5189,5198) = 1

We will now calculate the prime factors of 5189 and 5198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5189 and 5198.

How to find the GCF of 5189 and 5198?

We will first find the prime factorization of 5189 and 5198. After we will calculate the factors of 5189 and 5198 and find the biggest common factor number .

Step-1: Prime Factorization of 5189

Prime factors of 5189 are 5189. Prime factorization of 5189 in exponential form is:

5189 = 5189¹

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 5189

List of positive integer factors of 5189 that divides 5189 without a remainder.

Step-4: Factors of 5198

List of positive integer factors of 5198 that divides 5189 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5189 and 5198. The biggest common factor number is the GCF number.
So the greatest common factor 5189 and 5198 is 1.

Also check out the Least Common Multiple of 5189 and 5198