What is the Greatest Common Factor of 23171 and 23188?

Greatest common factor (GCF) of 23171 and 23188 is 17.

GCF(23171,23188) = 17

We will now calculate the prime factors of 23171 and 23188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23171 and 23188.

How to find the GCF of 23171 and 23188?

We will first find the prime factorization of 23171 and 23188. After we will calculate the factors of 23171 and 23188 and find the biggest common factor number .

Step-1: Prime Factorization of 23171

Prime factors of 23171 are 17, 29, 47. Prime factorization of 23171 in exponential form is:

23171 = 17¹ × 29¹ × 47¹

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 23171

List of positive integer factors of 23171 that divides 23171 without a remainder.

1, 17, 29, 47, 493, 799, 1363

Step-4: Factors of 23188

List of positive integer factors of 23188 that divides 23171 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 23171 and 23188. The biggest common factor number is the GCF number.
So the greatest common factor 23171 and 23188 is 17.

Also check out the Least Common Multiple of 23171 and 23188