What is the Greatest Common Factor of 97296 and 97311?

Greatest common factor (GCF) of 97296 and 97311 is 3.

GCF(97296,97311) = 3

We will now calculate the prime factors of 97296 and 97311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97296 and 97311.

How to find the GCF of 97296 and 97311?

We will first find the prime factorization of 97296 and 97311. After we will calculate the factors of 97296 and 97311 and find the biggest common factor number .

Step-1: Prime Factorization of 97296

Prime factors of 97296 are 2, 3, 2027. Prime factorization of 97296 in exponential form is:

97296 = 2⁴ × 3¹ × 2027¹

Step-2: 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-3: Factors of 97296

List of positive integer factors of 97296 that divides 97296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2027, 4054, 6081, 8108, 12162, 16216, 24324, 32432, 48648

Step-4: Factors of 97311

List of positive integer factors of 97311 that divides 97296 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97296 and 97311. The biggest common factor number is the GCF number.
So the greatest common factor 97296 and 97311 is 3.

Also check out the Least Common Multiple of 97296 and 97311