What is the Greatest Common Factor of 98161 and 98180?

Greatest common factor (GCF) of 98161 and 98180 is 1.

GCF(98161,98180) = 1

We will now calculate the prime factors of 98161 and 98180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98161 and 98180.

How to find the GCF of 98161 and 98180?

We will first find the prime factorization of 98161 and 98180. After we will calculate the factors of 98161 and 98180 and find the biggest common factor number .

Step-1: Prime Factorization of 98161

Prime factors of 98161 are 7, 37, 379. Prime factorization of 98161 in exponential form is:

98161 = 7¹ × 37¹ × 379¹

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 98161

List of positive integer factors of 98161 that divides 98161 without a remainder.

1, 7, 37, 259, 379, 2653, 14023

Step-4: Factors of 98180

List of positive integer factors of 98180 that divides 98161 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 98161 and 98180. The biggest common factor number is the GCF number.
So the greatest common factor 98161 and 98180 is 1.

Also check out the Least Common Multiple of 98161 and 98180