What is the Greatest Common Factor of 97284 and 97296?

Greatest common factor (GCF) of 97284 and 97296 is 12.

GCF(97284,97296) = 12

We will now calculate the prime factors of 97284 and 97296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97284 and 97296.

How to find the GCF of 97284 and 97296?

We will first find the prime factorization of 97284 and 97296. After we will calculate the factors of 97284 and 97296 and find the biggest common factor number .

Step-1: Prime Factorization of 97284

Prime factors of 97284 are 2, 3, 11, 67. Prime factorization of 97284 in exponential form is:

97284 = 2² × 3¹ × 11² × 67¹

Step-2: 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-3: Factors of 97284

List of positive integer factors of 97284 that divides 97284 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 67, 121, 132, 134, 201, 242, 268, 363, 402, 484, 726, 737, 804, 1452, 1474, 2211, 2948, 4422, 8107, 8844, 16214, 24321, 32428, 48642

Step-4: Factors of 97296

List of positive integer factors of 97296 that divides 97284 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97284 and 97296. The biggest common factor number is the GCF number.
So the greatest common factor 97284 and 97296 is 12.

Also check out the Least Common Multiple of 97284 and 97296