What is the Greatest Common Factor of 96390 and 96404?

Greatest common factor (GCF) of 96390 and 96404 is 14.

GCF(96390,96404) = 14

We will now calculate the prime factors of 96390 and 96404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96390 and 96404.

How to find the GCF of 96390 and 96404?

We will first find the prime factorization of 96390 and 96404. After we will calculate the factors of 96390 and 96404 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 96404

Prime factors of 96404 are 2, 7, 11, 313. Prime factorization of 96404 in exponential form is:

96404 = 2² × 7¹ × 11¹ × 313¹

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 96404

List of positive integer factors of 96404 that divides 96390 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308, 313, 626, 1252, 2191, 3443, 4382, 6886, 8764, 13772, 24101, 48202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96390 and 96404. The biggest common factor number is the GCF number.
So the greatest common factor 96390 and 96404 is 14.

Also check out the Least Common Multiple of 96390 and 96404