What is the Greatest Common Factor of 97311 and 97329?

Greatest common factor (GCF) of 97311 and 97329 is 3.

GCF(97311,97329) = 3

We will now calculate the prime factors of 97311 and 97329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97311 and 97329.

How to find the GCF of 97311 and 97329?

We will first find the prime factorization of 97311 and 97329. After we will calculate the factors of 97311 and 97329 and find the biggest common factor number .

Step-1: Prime Factorization of 97311

Prime factors of 97311 are 3, 163, 199. Prime factorization of 97311 in exponential form is:

97311 = 3¹ × 163¹ × 199¹

Step-2: Prime Factorization of 97329

Prime factors of 97329 are 3, 32443. Prime factorization of 97329 in exponential form is:

97329 = 3¹ × 32443¹

Step-3: Factors of 97311

List of positive integer factors of 97311 that divides 97311 without a remainder.

1, 3, 163, 199, 489, 597, 32437

Step-4: Factors of 97329

List of positive integer factors of 97329 that divides 97311 without a remainder.

1, 3, 32443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97311 and 97329. The biggest common factor number is the GCF number.
So the greatest common factor 97311 and 97329 is 3.

Also check out the Least Common Multiple of 97311 and 97329