What is the Greatest Common Factor of 93385 and 93390?

Greatest common factor (GCF) of 93385 and 93390 is 5.

GCF(93385,93390) = 5

We will now calculate the prime factors of 93385 and 93390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93385 and 93390.

How to find the GCF of 93385 and 93390?

We will first find the prime factorization of 93385 and 93390. After we will calculate the factors of 93385 and 93390 and find the biggest common factor number .

Step-1: Prime Factorization of 93385

Prime factors of 93385 are 5, 19, 983. Prime factorization of 93385 in exponential form is:

93385 = 5¹ × 19¹ × 983¹

Step-2: Prime Factorization of 93390

Prime factors of 93390 are 2, 3, 5, 11, 283. Prime factorization of 93390 in exponential form is:

93390 = 2¹ × 3¹ × 5¹ × 11¹ × 283¹

Step-3: Factors of 93385

List of positive integer factors of 93385 that divides 93385 without a remainder.

1, 5, 19, 95, 983, 4915, 18677

Step-4: Factors of 93390

List of positive integer factors of 93390 that divides 93385 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 283, 330, 566, 849, 1415, 1698, 2830, 3113, 4245, 6226, 8490, 9339, 15565, 18678, 31130, 46695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93385 and 93390. The biggest common factor number is the GCF number.
So the greatest common factor 93385 and 93390 is 5.

Also check out the Least Common Multiple of 93385 and 93390