What is the Greatest Common Factor of 93315 and 93330?

Greatest common factor (GCF) of 93315 and 93330 is 15.

GCF(93315,93330) = 15

We will now calculate the prime factors of 93315 and 93330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93315 and 93330.

How to find the GCF of 93315 and 93330?

We will first find the prime factorization of 93315 and 93330. After we will calculate the factors of 93315 and 93330 and find the biggest common factor number .

Step-1: Prime Factorization of 93315

Prime factors of 93315 are 3, 5, 6221. Prime factorization of 93315 in exponential form is:

93315 = 3¹ × 5¹ × 6221¹

Step-2: Prime Factorization of 93330

Prime factors of 93330 are 2, 3, 5, 17, 61. Prime factorization of 93330 in exponential form is:

93330 = 2¹ × 3² × 5¹ × 17¹ × 61¹

Step-3: Factors of 93315

List of positive integer factors of 93315 that divides 93315 without a remainder.

1, 3, 5, 15, 6221, 18663, 31105

Step-4: Factors of 93330

List of positive integer factors of 93330 that divides 93315 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 61, 85, 90, 102, 122, 153, 170, 183, 255, 305, 306, 366, 510, 549, 610, 765, 915, 1037, 1098, 1530, 1830, 2074, 2745, 3111, 5185, 5490, 6222, 9333, 10370, 15555, 18666, 31110, 46665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93315 and 93330. The biggest common factor number is the GCF number.
So the greatest common factor 93315 and 93330 is 15.

Also check out the Least Common Multiple of 93315 and 93330