What is the Greatest Common Factor of 23188 and 23197?

Greatest common factor (GCF) of 23188 and 23197 is 1.

GCF(23188,23197) = 1

We will now calculate the prime factors of 23188 and 23197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23188 and 23197.

How to find the GCF of 23188 and 23197?

We will first find the prime factorization of 23188 and 23197. After we will calculate the factors of 23188 and 23197 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23197

Prime factors of 23197 are 23197. Prime factorization of 23197 in exponential form is:

23197 = 23197¹

Step-3: Factors of 23188

List of positive integer factors of 23188 that divides 23188 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

Step-4: Factors of 23197

List of positive integer factors of 23197 that divides 23188 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23188 and 23197. The biggest common factor number is the GCF number.
So the greatest common factor 23188 and 23197 is 1.

Also check out the Least Common Multiple of 23188 and 23197