What is the Greatest Common Factor of 2167 and 2178?

Greatest common factor (GCF) of 2167 and 2178 is 11.

GCF(2167,2178) = 11

We will now calculate the prime factors of 2167 and 2178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2167 and 2178.

How to find the GCF of 2167 and 2178?

We will first find the prime factorization of 2167 and 2178. After we will calculate the factors of 2167 and 2178 and find the biggest common factor number .

Step-1: Prime Factorization of 2167

Prime factors of 2167 are 11, 197. Prime factorization of 2167 in exponential form is:

2167 = 11¹ × 197¹

Step-2: 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-3: Factors of 2167

List of positive integer factors of 2167 that divides 2167 without a remainder.

1, 11, 197

Step-4: Factors of 2178

List of positive integer factors of 2178 that divides 2167 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2167 and 2178. The biggest common factor number is the GCF number.
So the greatest common factor 2167 and 2178 is 11.

Also check out the Least Common Multiple of 2167 and 2178