What is the Greatest Common Factor of 98180 and 98198?

Greatest common factor (GCF) of 98180 and 98198 is 2.

GCF(98180,98198) = 2

We will now calculate the prime factors of 98180 and 98198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98180 and 98198.

How to find the GCF of 98180 and 98198?

We will first find the prime factorization of 98180 and 98198. After we will calculate the factors of 98180 and 98198 and find the biggest common factor number .

Step-1: Prime Factorization of 98180

Prime factors of 98180 are 2, 5, 4909. Prime factorization of 98180 in exponential form is:

98180 = 2² × 5¹ × 4909¹

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 98180

List of positive integer factors of 98180 that divides 98180 without a remainder.

1, 2, 4, 5, 10, 20, 4909, 9818, 19636, 24545, 49090

Step-4: Factors of 98198

List of positive integer factors of 98198 that divides 98180 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98180 and 98198. The biggest common factor number is the GCF number.
So the greatest common factor 98180 and 98198 is 2.

Also check out the Least Common Multiple of 98180 and 98198