What is the Greatest Common Factor of 93296 and 93313?

Greatest common factor (GCF) of 93296 and 93313 is 17.

GCF(93296,93313) = 17

We will now calculate the prime factors of 93296 and 93313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93296 and 93313.

How to find the GCF of 93296 and 93313?

We will first find the prime factorization of 93296 and 93313. After we will calculate the factors of 93296 and 93313 and find the biggest common factor number .

Step-1: Prime Factorization of 93296

Prime factors of 93296 are 2, 7, 17. Prime factorization of 93296 in exponential form is:

93296 = 2⁴ × 7³ × 17¹

Step-2: Prime Factorization of 93313

Prime factors of 93313 are 11, 17, 499. Prime factorization of 93313 in exponential form is:

93313 = 11¹ × 17¹ × 499¹

Step-3: Factors of 93296

List of positive integer factors of 93296 that divides 93296 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 49, 56, 68, 98, 112, 119, 136, 196, 238, 272, 343, 392, 476, 686, 784, 833, 952, 1372, 1666, 1904, 2744, 3332, 5488, 5831, 6664, 11662, 13328, 23324, 46648

Step-4: Factors of 93313

List of positive integer factors of 93313 that divides 93296 without a remainder.

1, 11, 17, 187, 499, 5489, 8483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93296 and 93313. The biggest common factor number is the GCF number.
So the greatest common factor 93296 and 93313 is 17.

Also check out the Least Common Multiple of 93296 and 93313