What is the Greatest Common Factor of 96384 and 96404?

Greatest common factor (GCF) of 96384 and 96404 is 4.

GCF(96384,96404) = 4

We will now calculate the prime factors of 96384 and 96404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96384 and 96404.

How to find the GCF of 96384 and 96404?

We will first find the prime factorization of 96384 and 96404. After we will calculate the factors of 96384 and 96404 and find the biggest common factor number .

Step-1: Prime Factorization of 96384

Prime factors of 96384 are 2, 3, 251. Prime factorization of 96384 in exponential form is:

96384 = 2⁷ × 3¹ × 251¹

Step-2: Prime Factorization of 96404

Prime factors of 96404 are 2, 7, 11, 313. Prime factorization of 96404 in exponential form is:

96404 = 2² × 7¹ × 11¹ × 313¹

Step-3: Factors of 96384

List of positive integer factors of 96384 that divides 96384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 251, 384, 502, 753, 1004, 1506, 2008, 3012, 4016, 6024, 8032, 12048, 16064, 24096, 32128, 48192

Step-4: Factors of 96404

List of positive integer factors of 96404 that divides 96384 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308, 313, 626, 1252, 2191, 3443, 4382, 6886, 8764, 13772, 24101, 48202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96384 and 96404. The biggest common factor number is the GCF number.
So the greatest common factor 96384 and 96404 is 4.

Also check out the Least Common Multiple of 96384 and 96404