What is the Greatest Common Factor of 93084 and 93093?

Greatest common factor (GCF) of 93084 and 93093 is 3.

GCF(93084,93093) = 3

We will now calculate the prime factors of 93084 and 93093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93084 and 93093.

How to find the GCF of 93084 and 93093?

We will first find the prime factorization of 93084 and 93093. After we will calculate the factors of 93084 and 93093 and find the biggest common factor number .

Step-1: Prime Factorization of 93084

Prime factors of 93084 are 2, 3, 7757. Prime factorization of 93084 in exponential form is:

93084 = 2² × 3¹ × 7757¹

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 93084

List of positive integer factors of 93084 that divides 93084 without a remainder.

1, 2, 3, 4, 6, 12, 7757, 15514, 23271, 31028, 46542

Step-4: Factors of 93093

List of positive integer factors of 93093 that divides 93084 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 93084 and 93093. The biggest common factor number is the GCF number.
So the greatest common factor 93084 and 93093 is 3.

Also check out the Least Common Multiple of 93084 and 93093