What is the Greatest Common Factor of 22204 and 22211?

Greatest common factor (GCF) of 22204 and 22211 is 7.

GCF(22204,22211) = 7

We will now calculate the prime factors of 22204 and 22211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22204 and 22211.

How to find the GCF of 22204 and 22211?

We will first find the prime factorization of 22204 and 22211. After we will calculate the factors of 22204 and 22211 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22211

Prime factors of 22211 are 7, 19, 167. Prime factorization of 22211 in exponential form is:

22211 = 7¹ × 19¹ × 167¹

Step-3: Factors of 22204

List of positive integer factors of 22204 that divides 22204 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

Step-4: Factors of 22211

List of positive integer factors of 22211 that divides 22204 without a remainder.

1, 7, 19, 133, 167, 1169, 3173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22204 and 22211. The biggest common factor number is the GCF number.
So the greatest common factor 22204 and 22211 is 7.

Also check out the Least Common Multiple of 22204 and 22211