What is the Greatest Common Factor of 93309 and 93314?

Greatest common factor (GCF) of 93309 and 93314 is 1.

GCF(93309,93314) = 1

We will now calculate the prime factors of 93309 and 93314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93309 and 93314.

How to find the GCF of 93309 and 93314?

We will first find the prime factorization of 93309 and 93314. After we will calculate the factors of 93309 and 93314 and find the biggest common factor number .

Step-1: Prime Factorization of 93309

Prime factors of 93309 are 3, 19, 1637. Prime factorization of 93309 in exponential form is:

93309 = 3¹ × 19¹ × 1637¹

Step-2: Prime Factorization of 93314

Prime factors of 93314 are 2, 13, 37, 97. Prime factorization of 93314 in exponential form is:

93314 = 2¹ × 13¹ × 37¹ × 97¹

Step-3: Factors of 93309

List of positive integer factors of 93309 that divides 93309 without a remainder.

1, 3, 19, 57, 1637, 4911, 31103

Step-4: Factors of 93314

List of positive integer factors of 93314 that divides 93309 without a remainder.

1, 2, 13, 26, 37, 74, 97, 194, 481, 962, 1261, 2522, 3589, 7178, 46657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93309 and 93314. The biggest common factor number is the GCF number.
So the greatest common factor 93309 and 93314 is 1.

Also check out the Least Common Multiple of 93309 and 93314