What is the Greatest Common Factor of 18193 and 18201?

Greatest common factor (GCF) of 18193 and 18201 is 1.

GCF(18193,18201) = 1

We will now calculate the prime factors of 18193 and 18201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18193 and 18201.

How to find the GCF of 18193 and 18201?

We will first find the prime factorization of 18193 and 18201. After we will calculate the factors of 18193 and 18201 and find the biggest common factor number .

Step-1: Prime Factorization of 18193

Prime factors of 18193 are 7, 23, 113. Prime factorization of 18193 in exponential form is:

18193 = 7¹ × 23¹ × 113¹

Step-2: Prime Factorization of 18201

Prime factors of 18201 are 3, 6067. Prime factorization of 18201 in exponential form is:

18201 = 3¹ × 6067¹

Step-3: Factors of 18193

List of positive integer factors of 18193 that divides 18193 without a remainder.

1, 7, 23, 113, 161, 791, 2599

Step-4: Factors of 18201

List of positive integer factors of 18201 that divides 18193 without a remainder.

1, 3, 6067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18193 and 18201. The biggest common factor number is the GCF number.
So the greatest common factor 18193 and 18201 is 1.

Also check out the Least Common Multiple of 18193 and 18201