What is the Greatest Common Factor of 98173 and 98180?

Greatest common factor (GCF) of 98173 and 98180 is 1.

GCF(98173,98180) = 1

We will now calculate the prime factors of 98173 and 98180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98173 and 98180.

How to find the GCF of 98173 and 98180?

We will first find the prime factorization of 98173 and 98180. After we will calculate the factors of 98173 and 98180 and find the biggest common factor number .

Step-1: Prime Factorization of 98173

Prime factors of 98173 are 19, 5167. Prime factorization of 98173 in exponential form is:

98173 = 19¹ × 5167¹

Step-2: 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-3: Factors of 98173

List of positive integer factors of 98173 that divides 98173 without a remainder.

1, 19, 5167

Step-4: Factors of 98180

List of positive integer factors of 98180 that divides 98173 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98173 and 98180. The biggest common factor number is the GCF number.
So the greatest common factor 98173 and 98180 is 1.

Also check out the Least Common Multiple of 98173 and 98180