What is the Greatest Common Factor of 98209 and 98217?

Greatest common factor (GCF) of 98209 and 98217 is 1.

GCF(98209,98217) = 1

We will now calculate the prime factors of 98209 and 98217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98209 and 98217.

How to find the GCF of 98209 and 98217?

We will first find the prime factorization of 98209 and 98217. After we will calculate the factors of 98209 and 98217 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98217

Prime factors of 98217 are 3, 7, 1559. Prime factorization of 98217 in exponential form is:

98217 = 3² × 7¹ × 1559¹

Step-3: Factors of 98209

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

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

Step-4: Factors of 98217

List of positive integer factors of 98217 that divides 98209 without a remainder.

1, 3, 7, 9, 21, 63, 1559, 4677, 10913, 14031, 32739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98209 and 98217. The biggest common factor number is the GCF number.
So the greatest common factor 98209 and 98217 is 1.

Also check out the Least Common Multiple of 98209 and 98217