What is the Greatest Common Factor of 23177 and 23188?

Greatest common factor (GCF) of 23177 and 23188 is 11.

GCF(23177,23188) = 11

We will now calculate the prime factors of 23177 and 23188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23177 and 23188.

How to find the GCF of 23177 and 23188?

We will first find the prime factorization of 23177 and 23188. After we will calculate the factors of 23177 and 23188 and find the biggest common factor number .

Step-1: Prime Factorization of 23177

Prime factors of 23177 are 7, 11, 43. Prime factorization of 23177 in exponential form is:

23177 = 7² × 11¹ × 43¹

Step-2: Prime Factorization of 23188

Prime factors of 23188 are 2, 11, 17, 31. Prime factorization of 23188 in exponential form is:

23188 = 2² × 11¹ × 17¹ × 31¹

Step-3: Factors of 23177

List of positive integer factors of 23177 that divides 23177 without a remainder.

1, 7, 11, 43, 49, 77, 301, 473, 539, 2107, 3311

Step-4: Factors of 23188

List of positive integer factors of 23188 that divides 23177 without a remainder.

1, 2, 4, 11, 17, 22, 31, 34, 44, 62, 68, 124, 187, 341, 374, 527, 682, 748, 1054, 1364, 2108, 5797, 11594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23177 and 23188. The biggest common factor number is the GCF number.
So the greatest common factor 23177 and 23188 is 11.

Also check out the Least Common Multiple of 23177 and 23188