What is the Greatest Common Factor of 22198 and 22209?

Greatest common factor (GCF) of 22198 and 22209 is 11.

GCF(22198,22209) = 11

We will now calculate the prime factors of 22198 and 22209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22198 and 22209.

How to find the GCF of 22198 and 22209?

We will first find the prime factorization of 22198 and 22209. After we will calculate the factors of 22198 and 22209 and find the biggest common factor number .

Step-1: Prime Factorization of 22198

Prime factors of 22198 are 2, 11, 1009. Prime factorization of 22198 in exponential form is:

22198 = 2¹ × 11¹ × 1009¹

Step-2: Prime Factorization of 22209

Prime factors of 22209 are 3, 11, 673. Prime factorization of 22209 in exponential form is:

22209 = 3¹ × 11¹ × 673¹

Step-3: Factors of 22198

List of positive integer factors of 22198 that divides 22198 without a remainder.

1, 2, 11, 22, 1009, 2018, 11099

Step-4: Factors of 22209

List of positive integer factors of 22209 that divides 22198 without a remainder.

1, 3, 11, 33, 673, 2019, 7403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22198 and 22209. The biggest common factor number is the GCF number.
So the greatest common factor 22198 and 22209 is 11.

Also check out the Least Common Multiple of 22198 and 22209