What is the Greatest Common Factor of 93165 and 93180?

Greatest common factor (GCF) of 93165 and 93180 is 15.

GCF(93165,93180) = 15

We will now calculate the prime factors of 93165 and 93180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93165 and 93180.

How to find the GCF of 93165 and 93180?

We will first find the prime factorization of 93165 and 93180. After we will calculate the factors of 93165 and 93180 and find the biggest common factor number .

Step-1: Prime Factorization of 93165

Prime factors of 93165 are 3, 5, 6211. Prime factorization of 93165 in exponential form is:

93165 = 3¹ × 5¹ × 6211¹

Step-2: Prime Factorization of 93180

Prime factors of 93180 are 2, 3, 5, 1553. Prime factorization of 93180 in exponential form is:

93180 = 2² × 3¹ × 5¹ × 1553¹

Step-3: Factors of 93165

List of positive integer factors of 93165 that divides 93165 without a remainder.

1, 3, 5, 15, 6211, 18633, 31055

Step-4: Factors of 93180

List of positive integer factors of 93180 that divides 93165 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1553, 3106, 4659, 6212, 7765, 9318, 15530, 18636, 23295, 31060, 46590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93165 and 93180. The biggest common factor number is the GCF number.
So the greatest common factor 93165 and 93180 is 15.

Also check out the Least Common Multiple of 93165 and 93180