What is the Greatest Common Factor of 93082 and 93093?

Greatest common factor (GCF) of 93082 and 93093 is 11.

GCF(93082,93093) = 11

We will now calculate the prime factors of 93082 and 93093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93082 and 93093.

How to find the GCF of 93082 and 93093?

We will first find the prime factorization of 93082 and 93093. After we will calculate the factors of 93082 and 93093 and find the biggest common factor number .

Step-1: Prime Factorization of 93082

Prime factors of 93082 are 2, 11, 4231. Prime factorization of 93082 in exponential form is:

93082 = 2¹ × 11¹ × 4231¹

Step-2: Prime Factorization of 93093

Prime factors of 93093 are 3, 7, 11, 13, 31. Prime factorization of 93093 in exponential form is:

93093 = 3¹ × 7¹ × 11¹ × 13¹ × 31¹

Step-3: Factors of 93082

List of positive integer factors of 93082 that divides 93082 without a remainder.

1, 2, 11, 22, 4231, 8462, 46541

Step-4: Factors of 93093

List of positive integer factors of 93093 that divides 93082 without a remainder.

1, 3, 7, 11, 13, 21, 31, 33, 39, 77, 91, 93, 143, 217, 231, 273, 341, 403, 429, 651, 1001, 1023, 1209, 2387, 2821, 3003, 4433, 7161, 8463, 13299, 31031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93082 and 93093. The biggest common factor number is the GCF number.
So the greatest common factor 93082 and 93093 is 11.

Also check out the Least Common Multiple of 93082 and 93093