What is the Greatest Common Factor of 98310 and 98326?

Greatest common factor (GCF) of 98310 and 98326 is 2.

GCF(98310,98326) = 2

We will now calculate the prime factors of 98310 and 98326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98310 and 98326.

How to find the GCF of 98310 and 98326?

We will first find the prime factorization of 98310 and 98326. After we will calculate the factors of 98310 and 98326 and find the biggest common factor number .

Step-1: Prime Factorization of 98310

Prime factors of 98310 are 2, 3, 5, 29, 113. Prime factorization of 98310 in exponential form is:

98310 = 2¹ × 3¹ × 5¹ × 29¹ × 113¹

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 98310

List of positive integer factors of 98310 that divides 98310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 113, 145, 174, 226, 290, 339, 435, 565, 678, 870, 1130, 1695, 3277, 3390, 6554, 9831, 16385, 19662, 32770, 49155

Step-4: Factors of 98326

List of positive integer factors of 98326 that divides 98310 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98310 and 98326. The biggest common factor number is the GCF number.
So the greatest common factor 98310 and 98326 is 2.

Also check out the Least Common Multiple of 98310 and 98326