What is the Greatest Common Factor of 2173 and 2178?

Greatest common factor (GCF) of 2173 and 2178 is 1.

GCF(2173,2178) = 1

We will now calculate the prime factors of 2173 and 2178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2173 and 2178.

How to find the GCF of 2173 and 2178?

We will first find the prime factorization of 2173 and 2178. After we will calculate the factors of 2173 and 2178 and find the biggest common factor number .

Step-1: Prime Factorization of 2173

Prime factors of 2173 are 41, 53. Prime factorization of 2173 in exponential form is:

2173 = 41¹ × 53¹

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 2173

List of positive integer factors of 2173 that divides 2173 without a remainder.

1, 41, 53

Step-4: Factors of 2178

List of positive integer factors of 2178 that divides 2173 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 2173 and 2178. The biggest common factor number is the GCF number.
So the greatest common factor 2173 and 2178 is 1.

Also check out the Least Common Multiple of 2173 and 2178