What is the Greatest Common Factor of 97326 and 97335?

Greatest common factor (GCF) of 97326 and 97335 is 9.

GCF(97326,97335) = 9

We will now calculate the prime factors of 97326 and 97335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97326 and 97335.

How to find the GCF of 97326 and 97335?

We will first find the prime factorization of 97326 and 97335. After we will calculate the factors of 97326 and 97335 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 97335

Prime factors of 97335 are 3, 5, 7, 103. Prime factorization of 97335 in exponential form is:

97335 = 3³ × 5¹ × 7¹ × 103¹

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 97335

List of positive integer factors of 97335 that divides 97326 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 103, 105, 135, 189, 309, 315, 515, 721, 927, 945, 1545, 2163, 2781, 3605, 4635, 6489, 10815, 13905, 19467, 32445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97326 and 97335. The biggest common factor number is the GCF number.
So the greatest common factor 97326 and 97335 is 9.

Also check out the Least Common Multiple of 97326 and 97335