What is the Greatest Common Factor of 93285 and 93300?

Greatest common factor (GCF) of 93285 and 93300 is 15.

GCF(93285,93300) = 15

We will now calculate the prime factors of 93285 and 93300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93285 and 93300.

How to find the GCF of 93285 and 93300?

We will first find the prime factorization of 93285 and 93300. After we will calculate the factors of 93285 and 93300 and find the biggest common factor number .

Step-1: Prime Factorization of 93285

Prime factors of 93285 are 3, 5, 691. Prime factorization of 93285 in exponential form is:

93285 = 3³ × 5¹ × 691¹

Step-2: 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-3: Factors of 93285

List of positive integer factors of 93285 that divides 93285 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 691, 2073, 3455, 6219, 10365, 18657, 31095

Step-4: Factors of 93300

List of positive integer factors of 93300 that divides 93285 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93285 and 93300. The biggest common factor number is the GCF number.
So the greatest common factor 93285 and 93300 is 15.

Also check out the Least Common Multiple of 93285 and 93300