What is the Greatest Common Factor of 93300 and 93309?

Greatest common factor (GCF) of 93300 and 93309 is 3.

GCF(93300,93309) = 3

We will now calculate the prime factors of 93300 and 93309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93300 and 93309.

How to find the GCF of 93300 and 93309?

We will first find the prime factorization of 93300 and 93309. After we will calculate the factors of 93300 and 93309 and find the biggest common factor number .

Step-1: Prime Factorization of 93300

Prime factors of 93300 are 2, 3, 5, 311. Prime factorization of 93300 in exponential form is:

93300 = 2² × 3¹ × 5² × 311¹

Step-2: 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-3: Factors of 93300

List of positive integer factors of 93300 that divides 93300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300, 311, 622, 933, 1244, 1555, 1866, 3110, 3732, 4665, 6220, 7775, 9330, 15550, 18660, 23325, 31100, 46650

Step-4: Factors of 93309

List of positive integer factors of 93309 that divides 93300 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93300 and 93309. The biggest common factor number is the GCF number.
So the greatest common factor 93300 and 93309 is 3.

Also check out the Least Common Multiple of 93300 and 93309