What is the Greatest Common Factor of 96390 and 96400?

Greatest common factor (GCF) of 96390 and 96400 is 10.

GCF(96390,96400) = 10

We will now calculate the prime factors of 96390 and 96400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96390 and 96400.

How to find the GCF of 96390 and 96400?

We will first find the prime factorization of 96390 and 96400. After we will calculate the factors of 96390 and 96400 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96400

Prime factors of 96400 are 2, 5, 241. Prime factorization of 96400 in exponential form is:

96400 = 2⁴ × 5² × 241¹

Step-3: Factors of 96390

List of positive integer factors of 96390 that divides 96390 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

Step-4: Factors of 96400

List of positive integer factors of 96400 that divides 96390 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 241, 400, 482, 964, 1205, 1928, 2410, 3856, 4820, 6025, 9640, 12050, 19280, 24100, 48200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96390 and 96400. The biggest common factor number is the GCF number.
So the greatest common factor 96390 and 96400 is 10.

Also check out the Least Common Multiple of 96390 and 96400