What is the Greatest Common Factor of 96369 and 96384?

Greatest common factor (GCF) of 96369 and 96384 is 3.

GCF(96369,96384) = 3

We will now calculate the prime factors of 96369 and 96384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96369 and 96384.

How to find the GCF of 96369 and 96384?

We will first find the prime factorization of 96369 and 96384. After we will calculate the factors of 96369 and 96384 and find the biggest common factor number .

Step-1: Prime Factorization of 96369

Prime factors of 96369 are 3, 7, 13, 353. Prime factorization of 96369 in exponential form is:

96369 = 3¹ × 7¹ × 13¹ × 353¹

Step-2: 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-3: Factors of 96369

List of positive integer factors of 96369 that divides 96369 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 353, 1059, 2471, 4589, 7413, 13767, 32123

Step-4: Factors of 96384

List of positive integer factors of 96384 that divides 96369 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96369 and 96384. The biggest common factor number is the GCF number.
So the greatest common factor 96369 and 96384 is 3.

Also check out the Least Common Multiple of 96369 and 96384