What is the Greatest Common Factor of 98309 and 98326?

Greatest common factor (GCF) of 98309 and 98326 is 1.

GCF(98309,98326) = 1

We will now calculate the prime factors of 98309 and 98326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98309 and 98326.

How to find the GCF of 98309 and 98326?

We will first find the prime factorization of 98309 and 98326. After we will calculate the factors of 98309 and 98326 and find the biggest common factor number .

Step-1: Prime Factorization of 98309

Prime factors of 98309 are 37, 2657. Prime factorization of 98309 in exponential form is:

98309 = 37¹ × 2657¹

Step-2: Prime Factorization of 98326

Prime factors of 98326 are 2, 211, 233. Prime factorization of 98326 in exponential form is:

98326 = 2¹ × 211¹ × 233¹

Step-3: Factors of 98309

List of positive integer factors of 98309 that divides 98309 without a remainder.

1, 37, 2657

Step-4: Factors of 98326

List of positive integer factors of 98326 that divides 98309 without a remainder.

1, 2, 211, 233, 422, 466, 49163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98309 and 98326. The biggest common factor number is the GCF number.
So the greatest common factor 98309 and 98326 is 1.

Also check out the Least Common Multiple of 98309 and 98326