What is the Greatest Common Factor of 98190 and 98209?

Greatest common factor (GCF) of 98190 and 98209 is 1.

GCF(98190,98209) = 1

We will now calculate the prime factors of 98190 and 98209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98190 and 98209.

How to find the GCF of 98190 and 98209?

We will first find the prime factorization of 98190 and 98209. After we will calculate the factors of 98190 and 98209 and find the biggest common factor number .

Step-1: Prime Factorization of 98190

Prime factors of 98190 are 2, 3, 5, 1091. Prime factorization of 98190 in exponential form is:

98190 = 2¹ × 3² × 5¹ × 1091¹

Step-2: Prime Factorization of 98209

Prime factors of 98209 are 17, 53, 109. Prime factorization of 98209 in exponential form is:

98209 = 17¹ × 53¹ × 109¹

Step-3: Factors of 98190

List of positive integer factors of 98190 that divides 98190 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1091, 2182, 3273, 5455, 6546, 9819, 10910, 16365, 19638, 32730, 49095

Step-4: Factors of 98209

List of positive integer factors of 98209 that divides 98190 without a remainder.

1, 17, 53, 109, 901, 1853, 5777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98190 and 98209. The biggest common factor number is the GCF number.
So the greatest common factor 98190 and 98209 is 1.

Also check out the Least Common Multiple of 98190 and 98209