What is the Greatest Common Factor of 98191 and 98198?

Greatest common factor (GCF) of 98191 and 98198 is 1.

GCF(98191,98198) = 1

We will now calculate the prime factors of 98191 and 98198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98191 and 98198.

How to find the GCF of 98191 and 98198?

We will first find the prime factorization of 98191 and 98198. After we will calculate the factors of 98191 and 98198 and find the biggest common factor number .

Step-1: Prime Factorization of 98191

Prime factors of 98191 are 149, 659. Prime factorization of 98191 in exponential form is:

98191 = 149¹ × 659¹

Step-2: Prime Factorization of 98198

Prime factors of 98198 are 2, 37, 1327. Prime factorization of 98198 in exponential form is:

98198 = 2¹ × 37¹ × 1327¹

Step-3: Factors of 98191

List of positive integer factors of 98191 that divides 98191 without a remainder.

1, 149, 659

Step-4: Factors of 98198

List of positive integer factors of 98198 that divides 98191 without a remainder.

1, 2, 37, 74, 1327, 2654, 49099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98191 and 98198. The biggest common factor number is the GCF number.
So the greatest common factor 98191 and 98198 is 1.

Also check out the Least Common Multiple of 98191 and 98198