What is the Greatest Common Factor of 22088 and 22099?

Greatest common factor (GCF) of 22088 and 22099 is 11.

GCF(22088,22099) = 11

We will now calculate the prime factors of 22088 and 22099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22088 and 22099.

How to find the GCF of 22088 and 22099?

We will first find the prime factorization of 22088 and 22099. After we will calculate the factors of 22088 and 22099 and find the biggest common factor number .

Step-1: Prime Factorization of 22088

Prime factors of 22088 are 2, 11, 251. Prime factorization of 22088 in exponential form is:

22088 = 2³ × 11¹ × 251¹

Step-2: Prime Factorization of 22099

Prime factors of 22099 are 7, 11, 41. Prime factorization of 22099 in exponential form is:

22099 = 7² × 11¹ × 41¹

Step-3: Factors of 22088

List of positive integer factors of 22088 that divides 22088 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 251, 502, 1004, 2008, 2761, 5522, 11044

Step-4: Factors of 22099

List of positive integer factors of 22099 that divides 22088 without a remainder.

1, 7, 11, 41, 49, 77, 287, 451, 539, 2009, 3157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22088 and 22099. The biggest common factor number is the GCF number.
So the greatest common factor 22088 and 22099 is 11.

Also check out the Least Common Multiple of 22088 and 22099