What is the Greatest Common Factor of 2178 and 2187?

Greatest common factor (GCF) of 2178 and 2187 is 9.

GCF(2178,2187) = 9

We will now calculate the prime factors of 2178 and 2187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2178 and 2187.

How to find the GCF of 2178 and 2187?

We will first find the prime factorization of 2178 and 2187. After we will calculate the factors of 2178 and 2187 and find the biggest common factor number .

Step-1: Prime Factorization of 2178

Prime factors of 2178 are 2, 3, 11. Prime factorization of 2178 in exponential form is:

2178 = 2¹ × 3² × 11²

Step-2: Prime Factorization of 2187

Prime factors of 2187 are 3. Prime factorization of 2187 in exponential form is:

2187 = 3⁷

Step-3: Factors of 2178

List of positive integer factors of 2178 that divides 2178 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089

Step-4: Factors of 2187

List of positive integer factors of 2187 that divides 2178 without a remainder.

1, 3, 9, 27, 81, 243, 729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2178 and 2187. The biggest common factor number is the GCF number.
So the greatest common factor 2178 and 2187 is 9.

Also check out the Least Common Multiple of 2178 and 2187