What is the Greatest Common Factor of 96384 and 96403?

Greatest common factor (GCF) of 96384 and 96403 is 1.

GCF(96384,96403) = 1

We will now calculate the prime factors of 96384 and 96403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96384 and 96403.

How to find the GCF of 96384 and 96403?

We will first find the prime factorization of 96384 and 96403. After we will calculate the factors of 96384 and 96403 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 96403

Prime factors of 96403 are 149, 647. Prime factorization of 96403 in exponential form is:

96403 = 149¹ × 647¹

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 96403

List of positive integer factors of 96403 that divides 96384 without a remainder.

1, 149, 647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96384 and 96403. The biggest common factor number is the GCF number.
So the greatest common factor 96384 and 96403 is 1.

Also check out the Least Common Multiple of 96384 and 96403