What is the Greatest Common Factor of 98204 and 98209?

Greatest common factor (GCF) of 98204 and 98209 is 1.

GCF(98204,98209) = 1

We will now calculate the prime factors of 98204 and 98209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98204 and 98209.

How to find the GCF of 98204 and 98209?

We will first find the prime factorization of 98204 and 98209. After we will calculate the factors of 98204 and 98209 and find the biggest common factor number .

Step-1: Prime Factorization of 98204

Prime factors of 98204 are 2, 24551. Prime factorization of 98204 in exponential form is:

98204 = 2² × 24551¹

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 98204

List of positive integer factors of 98204 that divides 98204 without a remainder.

1, 2, 4, 24551, 49102

Step-4: Factors of 98209

List of positive integer factors of 98209 that divides 98204 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98204 and 98209. The biggest common factor number is the GCF number.
So the greatest common factor 98204 and 98209 is 1.

Also check out the Least Common Multiple of 98204 and 98209