What is the Greatest Common Factor of 22191 and 22201?

Greatest common factor (GCF) of 22191 and 22201 is 1.

GCF(22191,22201) = 1

We will now calculate the prime factors of 22191 and 22201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22191 and 22201.

How to find the GCF of 22191 and 22201?

We will first find the prime factorization of 22191 and 22201. After we will calculate the factors of 22191 and 22201 and find the biggest common factor number .

Step-1: Prime Factorization of 22191

Prime factors of 22191 are 3, 13, 569. Prime factorization of 22191 in exponential form is:

22191 = 3¹ × 13¹ × 569¹

Step-2: Prime Factorization of 22201

Prime factors of 22201 are 149. Prime factorization of 22201 in exponential form is:

22201 = 149²

Step-3: Factors of 22191

List of positive integer factors of 22191 that divides 22191 without a remainder.

1, 3, 13, 39, 569, 1707, 7397

Step-4: Factors of 22201

List of positive integer factors of 22201 that divides 22191 without a remainder.

1, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22191 and 22201. The biggest common factor number is the GCF number.
So the greatest common factor 22191 and 22201 is 1.

Also check out the Least Common Multiple of 22191 and 22201