What is the Greatest Common Factor of 97326 and 97338?

Greatest common factor (GCF) of 97326 and 97338 is 6.

GCF(97326,97338) = 6

We will now calculate the prime factors of 97326 and 97338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97326 and 97338.

How to find the GCF of 97326 and 97338?

We will first find the prime factorization of 97326 and 97338. After we will calculate the factors of 97326 and 97338 and find the biggest common factor number .

Step-1: Prime Factorization of 97326

Prime factors of 97326 are 2, 3, 5407. Prime factorization of 97326 in exponential form is:

97326 = 2¹ × 3² × 5407¹

Step-2: Prime Factorization of 97338

Prime factors of 97338 are 2, 3, 16223. Prime factorization of 97338 in exponential form is:

97338 = 2¹ × 3¹ × 16223¹

Step-3: Factors of 97326

List of positive integer factors of 97326 that divides 97326 without a remainder.

1, 2, 3, 6, 9, 18, 5407, 10814, 16221, 32442, 48663

Step-4: Factors of 97338

List of positive integer factors of 97338 that divides 97326 without a remainder.

1, 2, 3, 6, 16223, 32446, 48669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97326 and 97338. The biggest common factor number is the GCF number.
So the greatest common factor 97326 and 97338 is 6.

Also check out the Least Common Multiple of 97326 and 97338