What is the Greatest Common Factor of 93275 and 93288?

Greatest common factor (GCF) of 93275 and 93288 is 13.

GCF(93275,93288) = 13

We will now calculate the prime factors of 93275 and 93288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93275 and 93288.

How to find the GCF of 93275 and 93288?

We will first find the prime factorization of 93275 and 93288. After we will calculate the factors of 93275 and 93288 and find the biggest common factor number .

Step-1: Prime Factorization of 93275

Prime factors of 93275 are 5, 7, 13, 41. Prime factorization of 93275 in exponential form is:

93275 = 5² × 7¹ × 13¹ × 41¹

Step-2: Prime Factorization of 93288

Prime factors of 93288 are 2, 3, 13, 23. Prime factorization of 93288 in exponential form is:

93288 = 2³ × 3¹ × 13² × 23¹

Step-3: Factors of 93275

List of positive integer factors of 93275 that divides 93275 without a remainder.

1, 5, 7, 13, 25, 35, 41, 65, 91, 175, 205, 287, 325, 455, 533, 1025, 1435, 2275, 2665, 3731, 7175, 13325, 18655

Step-4: Factors of 93288

List of positive integer factors of 93288 that divides 93275 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 169, 184, 276, 299, 312, 338, 507, 552, 598, 676, 897, 1014, 1196, 1352, 1794, 2028, 2392, 3588, 3887, 4056, 7176, 7774, 11661, 15548, 23322, 31096, 46644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93275 and 93288. The biggest common factor number is the GCF number.
So the greatest common factor 93275 and 93288 is 13.

Also check out the Least Common Multiple of 93275 and 93288