What is the Greatest Common Factor of 2145 and 2165?

Greatest common factor (GCF) of 2145 and 2165 is 5.

GCF(2145,2165) = 5

We will now calculate the prime factors of 2145 and 2165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2145 and 2165.

How to find the GCF of 2145 and 2165?

We will first find the prime factorization of 2145 and 2165. After we will calculate the factors of 2145 and 2165 and find the biggest common factor number .

Step-1: Prime Factorization of 2145

Prime factors of 2145 are 3, 5, 11, 13. Prime factorization of 2145 in exponential form is:

2145 = 3¹ × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 2165

Prime factors of 2165 are 5, 433. Prime factorization of 2165 in exponential form is:

2165 = 5¹ × 433¹

Step-3: Factors of 2145

List of positive integer factors of 2145 that divides 2145 without a remainder.

1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715

Step-4: Factors of 2165

List of positive integer factors of 2165 that divides 2145 without a remainder.

1, 5, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2145 and 2165. The biggest common factor number is the GCF number.
So the greatest common factor 2145 and 2165 is 5.

Also check out the Least Common Multiple of 2145 and 2165