What is the Greatest Common Factor of 96390 and 96410?

Greatest common factor (GCF) of 96390 and 96410 is 10.

GCF(96390,96410) = 10

We will now calculate the prime factors of 96390 and 96410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96390 and 96410.

How to find the GCF of 96390 and 96410?

We will first find the prime factorization of 96390 and 96410. After we will calculate the factors of 96390 and 96410 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 96410

Prime factors of 96410 are 2, 5, 31, 311. Prime factorization of 96410 in exponential form is:

96410 = 2¹ × 5¹ × 31¹ × 311¹

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 96410

List of positive integer factors of 96410 that divides 96390 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310, 311, 622, 1555, 3110, 9641, 19282, 48205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96390 and 96410. The biggest common factor number is the GCF number.
So the greatest common factor 96390 and 96410 is 10.

Also check out the Least Common Multiple of 96390 and 96410