What is the Greatest Common Factor of 2145 and 2163?

Greatest common factor (GCF) of 2145 and 2163 is 3.

GCF(2145,2163) = 3

We will now calculate the prime factors of 2145 and 2163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2145 and 2163.

How to find the GCF of 2145 and 2163?

We will first find the prime factorization of 2145 and 2163. After we will calculate the factors of 2145 and 2163 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 2163

Prime factors of 2163 are 3, 7, 103. Prime factorization of 2163 in exponential form is:

2163 = 3¹ × 7¹ × 103¹

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 2163

List of positive integer factors of 2163 that divides 2145 without a remainder.

1, 3, 7, 21, 103, 309, 721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2145 and 2163. The biggest common factor number is the GCF number.
So the greatest common factor 2145 and 2163 is 3.

Also check out the Least Common Multiple of 2145 and 2163