What is the Greatest Common Factor of 93289 and 93296?

Greatest common factor (GCF) of 93289 and 93296 is 7.

GCF(93289,93296) = 7

We will now calculate the prime factors of 93289 and 93296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93289 and 93296.

How to find the GCF of 93289 and 93296?

We will first find the prime factorization of 93289 and 93296. After we will calculate the factors of 93289 and 93296 and find the biggest common factor number .

Step-1: Prime Factorization of 93289

Prime factors of 93289 are 7, 13327. Prime factorization of 93289 in exponential form is:

93289 = 7¹ × 13327¹

Step-2: 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-3: Factors of 93289

List of positive integer factors of 93289 that divides 93289 without a remainder.

1, 7, 13327

Step-4: Factors of 93296

List of positive integer factors of 93296 that divides 93289 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93289 and 93296. The biggest common factor number is the GCF number.
So the greatest common factor 93289 and 93296 is 7.

Also check out the Least Common Multiple of 93289 and 93296