What is the Greatest Common Factor of 96390 and 96407?

Greatest common factor (GCF) of 96390 and 96407 is 17.

GCF(96390,96407) = 17

We will now calculate the prime factors of 96390 and 96407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96390 and 96407.

How to find the GCF of 96390 and 96407?

We will first find the prime factorization of 96390 and 96407. After we will calculate the factors of 96390 and 96407 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 96407

Prime factors of 96407 are 17, 53, 107. Prime factorization of 96407 in exponential form is:

96407 = 17¹ × 53¹ × 107¹

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 96407

List of positive integer factors of 96407 that divides 96390 without a remainder.

1, 17, 53, 107, 901, 1819, 5671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96390 and 96407. The biggest common factor number is the GCF number.
So the greatest common factor 96390 and 96407 is 17.

Also check out the Least Common Multiple of 96390 and 96407