What is the Greatest Common Factor of 97392 and 97404?

Greatest common factor (GCF) of 97392 and 97404 is 12.

GCF(97392,97404) = 12

We will now calculate the prime factors of 97392 and 97404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97392 and 97404.

How to find the GCF of 97392 and 97404?

We will first find the prime factorization of 97392 and 97404. After we will calculate the factors of 97392 and 97404 and find the biggest common factor number .

Step-1: Prime Factorization of 97392

Prime factors of 97392 are 2, 3, 2029. Prime factorization of 97392 in exponential form is:

97392 = 2⁴ × 3¹ × 2029¹

Step-2: Prime Factorization of 97404

Prime factors of 97404 are 2, 3, 8117. Prime factorization of 97404 in exponential form is:

97404 = 2² × 3¹ × 8117¹

Step-3: Factors of 97392

List of positive integer factors of 97392 that divides 97392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2029, 4058, 6087, 8116, 12174, 16232, 24348, 32464, 48696

Step-4: Factors of 97404

List of positive integer factors of 97404 that divides 97392 without a remainder.

1, 2, 3, 4, 6, 12, 8117, 16234, 24351, 32468, 48702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97392 and 97404. The biggest common factor number is the GCF number.
So the greatest common factor 97392 and 97404 is 12.

Also check out the Least Common Multiple of 97392 and 97404