What is the Greatest Common Factor of 96384 and 96390?

Greatest common factor (GCF) of 96384 and 96390 is 6.

GCF(96384,96390) = 6

We will now calculate the prime factors of 96384 and 96390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96384 and 96390.

How to find the GCF of 96384 and 96390?

We will first find the prime factorization of 96384 and 96390. After we will calculate the factors of 96384 and 96390 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 96390

Prime factors of 96390 are 2, 3, 5, 7, 17. Prime factorization of 96390 in exponential form is:

96390 = 2¹ × 3⁴ × 5¹ × 7¹ × 17¹

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 96390

List of positive integer factors of 96390 that divides 96384 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 17, 18, 21, 27, 30, 34, 35, 42, 45, 51, 54, 63, 70, 81, 85, 90, 102, 105, 119, 126, 135, 153, 162, 170, 189, 210, 238, 255, 270, 306, 315, 357, 378, 405, 459, 510, 567, 595, 630, 714, 765, 810, 918, 945, 1071, 1134, 1190, 1377, 1530, 1785, 1890, 2142, 2295, 2754, 2835, 3213, 3570, 4590, 5355, 5670, 6426, 6885, 9639, 10710, 13770, 16065, 19278, 32130, 48195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96384 and 96390. The biggest common factor number is the GCF number.
So the greatest common factor 96384 and 96390 is 6.

Also check out the Least Common Multiple of 96384 and 96390