What is the Greatest Common Factor of 22205 and 22220?

Greatest common factor (GCF) of 22205 and 22220 is 5.

GCF(22205,22220) = 5

We will now calculate the prime factors of 22205 and 22220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22205 and 22220.

How to find the GCF of 22205 and 22220?

We will first find the prime factorization of 22205 and 22220. After we will calculate the factors of 22205 and 22220 and find the biggest common factor number .

Step-1: Prime Factorization of 22205

Prime factors of 22205 are 5, 4441. Prime factorization of 22205 in exponential form is:

22205 = 5¹ × 4441¹

Step-2: Prime Factorization of 22220

Prime factors of 22220 are 2, 5, 11, 101. Prime factorization of 22220 in exponential form is:

22220 = 2² × 5¹ × 11¹ × 101¹

Step-3: Factors of 22205

List of positive integer factors of 22205 that divides 22205 without a remainder.

1, 5, 4441

Step-4: Factors of 22220

List of positive integer factors of 22220 that divides 22205 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 101, 110, 202, 220, 404, 505, 1010, 1111, 2020, 2222, 4444, 5555, 11110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22205 and 22220. The biggest common factor number is the GCF number.
So the greatest common factor 22205 and 22220 is 5.

Also check out the Least Common Multiple of 22205 and 22220