What is the Greatest Common Factor of 97296 and 97302?

Greatest common factor (GCF) of 97296 and 97302 is 6.

GCF(97296,97302) = 6

We will now calculate the prime factors of 97296 and 97302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97296 and 97302.

How to find the GCF of 97296 and 97302?

We will first find the prime factorization of 97296 and 97302. After we will calculate the factors of 97296 and 97302 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 97302

Prime factors of 97302 are 2, 3, 16217. Prime factorization of 97302 in exponential form is:

97302 = 2¹ × 3¹ × 16217¹

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 97302

List of positive integer factors of 97302 that divides 97296 without a remainder.

1, 2, 3, 6, 16217, 32434, 48651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97296 and 97302. The biggest common factor number is the GCF number.
So the greatest common factor 97296 and 97302 is 6.

Also check out the Least Common Multiple of 97296 and 97302