What is the Greatest Common Factor of 96384 and 96394?

Greatest common factor (GCF) of 96384 and 96394 is 2.

GCF(96384,96394) = 2

We will now calculate the prime factors of 96384 and 96394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96384 and 96394.

How to find the GCF of 96384 and 96394?

We will first find the prime factorization of 96384 and 96394. After we will calculate the factors of 96384 and 96394 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 96394

Prime factors of 96394 are 2, 48197. Prime factorization of 96394 in exponential form is:

96394 = 2¹ × 48197¹

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 96394

List of positive integer factors of 96394 that divides 96384 without a remainder.

1, 2, 48197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96384 and 96394. The biggest common factor number is the GCF number.
So the greatest common factor 96384 and 96394 is 2.

Also check out the Least Common Multiple of 96384 and 96394