What is the Greatest Common Factor of 96390 and 96398?

Greatest common factor (GCF) of 96390 and 96398 is 2.

GCF(96390,96398) = 2

We will now calculate the prime factors of 96390 and 96398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96390 and 96398.

How to find the GCF of 96390 and 96398?

We will first find the prime factorization of 96390 and 96398. After we will calculate the factors of 96390 and 96398 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 96398

Prime factors of 96398 are 2, 157, 307. Prime factorization of 96398 in exponential form is:

96398 = 2¹ × 157¹ × 307¹

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 96398

List of positive integer factors of 96398 that divides 96390 without a remainder.

1, 2, 157, 307, 314, 614, 48199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96390 and 96398. The biggest common factor number is the GCF number.
So the greatest common factor 96390 and 96398 is 2.

Also check out the Least Common Multiple of 96390 and 96398