What is the Greatest Common Factor of 2163 and 2181?

Greatest common factor (GCF) of 2163 and 2181 is 3.

GCF(2163,2181) = 3

We will now calculate the prime factors of 2163 and 2181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2163 and 2181.

How to find the GCF of 2163 and 2181?

We will first find the prime factorization of 2163 and 2181. After we will calculate the factors of 2163 and 2181 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2181

Prime factors of 2181 are 3, 727. Prime factorization of 2181 in exponential form is:

2181 = 3¹ × 727¹

Step-3: Factors of 2163

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

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

Step-4: Factors of 2181

List of positive integer factors of 2181 that divides 2163 without a remainder.

1, 3, 727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2163 and 2181. The biggest common factor number is the GCF number.
So the greatest common factor 2163 and 2181 is 3.

Also check out the Least Common Multiple of 2163 and 2181