What is the Greatest Common Factor of 18165 and 18177?

Greatest common factor (GCF) of 18165 and 18177 is 3.

GCF(18165,18177) = 3

We will now calculate the prime factors of 18165 and 18177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18165 and 18177.

How to find the GCF of 18165 and 18177?

We will first find the prime factorization of 18165 and 18177. After we will calculate the factors of 18165 and 18177 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18177

Prime factors of 18177 are 3, 73, 83. Prime factorization of 18177 in exponential form is:

18177 = 3¹ × 73¹ × 83¹

Step-3: Factors of 18165

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

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

Step-4: Factors of 18177

List of positive integer factors of 18177 that divides 18165 without a remainder.

1, 3, 73, 83, 219, 249, 6059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18165 and 18177. The biggest common factor number is the GCF number.
So the greatest common factor 18165 and 18177 is 3.

Also check out the Least Common Multiple of 18165 and 18177