What is the Greatest Common Factor of 36145 and 36165?

Greatest common factor (GCF) of 36145 and 36165 is 5.

GCF(36145,36165) = 5

We will now calculate the prime factors of 36145 and 36165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36145 and 36165.

How to find the GCF of 36145 and 36165?

We will first find the prime factorization of 36145 and 36165. After we will calculate the factors of 36145 and 36165 and find the biggest common factor number .

Step-1: Prime Factorization of 36145

Prime factors of 36145 are 5, 7229. Prime factorization of 36145 in exponential form is:

36145 = 5¹ × 7229¹

Step-2: Prime Factorization of 36165

Prime factors of 36165 are 3, 5, 2411. Prime factorization of 36165 in exponential form is:

36165 = 3¹ × 5¹ × 2411¹

Step-3: Factors of 36145

List of positive integer factors of 36145 that divides 36145 without a remainder.

1, 5, 7229

Step-4: Factors of 36165

List of positive integer factors of 36165 that divides 36145 without a remainder.

1, 3, 5, 15, 2411, 7233, 12055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36145 and 36165. The biggest common factor number is the GCF number.
So the greatest common factor 36145 and 36165 is 5.

Also check out the Least Common Multiple of 36145 and 36165