What is the Greatest Common Factor of 22191 and 22204?

Greatest common factor (GCF) of 22191 and 22204 is 13.

GCF(22191,22204) = 13

We will now calculate the prime factors of 22191 and 22204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22191 and 22204.

How to find the GCF of 22191 and 22204?

We will first find the prime factorization of 22191 and 22204. After we will calculate the factors of 22191 and 22204 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 22204

Prime factors of 22204 are 2, 7, 13, 61. Prime factorization of 22204 in exponential form is:

22204 = 2² × 7¹ × 13¹ × 61¹

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 22204

List of positive integer factors of 22204 that divides 22191 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 61, 91, 122, 182, 244, 364, 427, 793, 854, 1586, 1708, 3172, 5551, 11102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22191 and 22204. The biggest common factor number is the GCF number.
So the greatest common factor 22191 and 22204 is 13.

Also check out the Least Common Multiple of 22191 and 22204