What is the Greatest Common Factor of 93145 and 93165?

Greatest common factor (GCF) of 93145 and 93165 is 5.

GCF(93145,93165) = 5

We will now calculate the prime factors of 93145 and 93165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93145 and 93165.

How to find the GCF of 93145 and 93165?

We will first find the prime factorization of 93145 and 93165. After we will calculate the factors of 93145 and 93165 and find the biggest common factor number .

Step-1: Prime Factorization of 93145

Prime factors of 93145 are 5, 13, 1433. Prime factorization of 93145 in exponential form is:

93145 = 5¹ × 13¹ × 1433¹

Step-2: 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-3: Factors of 93145

List of positive integer factors of 93145 that divides 93145 without a remainder.

1, 5, 13, 65, 1433, 7165, 18629

Step-4: Factors of 93165

List of positive integer factors of 93165 that divides 93145 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93145 and 93165. The biggest common factor number is the GCF number.
So the greatest common factor 93145 and 93165 is 5.

Also check out the Least Common Multiple of 93145 and 93165