What is the Greatest Common Factor of 23193 and 23213?

Greatest common factor (GCF) of 23193 and 23213 is 1.

GCF(23193,23213) = 1

We will now calculate the prime factors of 23193 and 23213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23193 and 23213.

How to find the GCF of 23193 and 23213?

We will first find the prime factorization of 23193 and 23213. After we will calculate the factors of 23193 and 23213 and find the biggest common factor number .

Step-1: Prime Factorization of 23193

Prime factors of 23193 are 3, 859. Prime factorization of 23193 in exponential form is:

23193 = 3³ × 859¹

Step-2: Prime Factorization of 23213

Prime factors of 23213 are 139, 167. Prime factorization of 23213 in exponential form is:

23213 = 139¹ × 167¹

Step-3: Factors of 23193

List of positive integer factors of 23193 that divides 23193 without a remainder.

1, 3, 9, 27, 859, 2577, 7731

Step-4: Factors of 23213

List of positive integer factors of 23213 that divides 23193 without a remainder.

1, 139, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23193 and 23213. The biggest common factor number is the GCF number.
So the greatest common factor 23193 and 23213 is 1.

Also check out the Least Common Multiple of 23193 and 23213