What is the Greatest Common Factor of 93398 and 93415?

Greatest common factor (GCF) of 93398 and 93415 is 17.

GCF(93398,93415) = 17

We will now calculate the prime factors of 93398 and 93415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93398 and 93415.

How to find the GCF of 93398 and 93415?

We will first find the prime factorization of 93398 and 93415. After we will calculate the factors of 93398 and 93415 and find the biggest common factor number .

Step-1: Prime Factorization of 93398

Prime factors of 93398 are 2, 17, 41, 67. Prime factorization of 93398 in exponential form is:

93398 = 2¹ × 17¹ × 41¹ × 67¹

Step-2: Prime Factorization of 93415

Prime factors of 93415 are 5, 7, 17, 157. Prime factorization of 93415 in exponential form is:

93415 = 5¹ × 7¹ × 17¹ × 157¹

Step-3: Factors of 93398

List of positive integer factors of 93398 that divides 93398 without a remainder.

1, 2, 17, 34, 41, 67, 82, 134, 697, 1139, 1394, 2278, 2747, 5494, 46699

Step-4: Factors of 93415

List of positive integer factors of 93415 that divides 93398 without a remainder.

1, 5, 7, 17, 35, 85, 119, 157, 595, 785, 1099, 2669, 5495, 13345, 18683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93398 and 93415. The biggest common factor number is the GCF number.
So the greatest common factor 93398 and 93415 is 17.

Also check out the Least Common Multiple of 93398 and 93415