What is the Greatest Common Factor of 18145 and 18165?

Greatest common factor (GCF) of 18145 and 18165 is 5.

GCF(18145,18165) = 5

We will now calculate the prime factors of 18145 and 18165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18145 and 18165.

How to find the GCF of 18145 and 18165?

We will first find the prime factorization of 18145 and 18165. After we will calculate the factors of 18145 and 18165 and find the biggest common factor number .

Step-1: Prime Factorization of 18145

Prime factors of 18145 are 5, 19, 191. Prime factorization of 18145 in exponential form is:

18145 = 5¹ × 19¹ × 191¹

Step-2: Prime Factorization of 18165

Prime factors of 18165 are 3, 5, 7, 173. Prime factorization of 18165 in exponential form is:

18165 = 3¹ × 5¹ × 7¹ × 173¹

Step-3: Factors of 18145

List of positive integer factors of 18145 that divides 18145 without a remainder.

1, 5, 19, 95, 191, 955, 3629

Step-4: Factors of 18165

List of positive integer factors of 18165 that divides 18145 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 173, 519, 865, 1211, 2595, 3633, 6055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18145 and 18165. The biggest common factor number is the GCF number.
So the greatest common factor 18145 and 18165 is 5.

Also check out the Least Common Multiple of 18145 and 18165