What is the Greatest Common Factor of 22180 and 22199?

Greatest common factor (GCF) of 22180 and 22199 is 1.

GCF(22180,22199) = 1

We will now calculate the prime factors of 22180 and 22199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22180 and 22199.

How to find the GCF of 22180 and 22199?

We will first find the prime factorization of 22180 and 22199. After we will calculate the factors of 22180 and 22199 and find the biggest common factor number .

Step-1: Prime Factorization of 22180

Prime factors of 22180 are 2, 5, 1109. Prime factorization of 22180 in exponential form is:

22180 = 2² × 5¹ × 1109¹

Step-2: Prime Factorization of 22199

Prime factors of 22199 are 79, 281. Prime factorization of 22199 in exponential form is:

22199 = 79¹ × 281¹

Step-3: Factors of 22180

List of positive integer factors of 22180 that divides 22180 without a remainder.

1, 2, 4, 5, 10, 20, 1109, 2218, 4436, 5545, 11090

Step-4: Factors of 22199

List of positive integer factors of 22199 that divides 22180 without a remainder.

1, 79, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22180 and 22199. The biggest common factor number is the GCF number.
So the greatest common factor 22180 and 22199 is 1.

Also check out the Least Common Multiple of 22180 and 22199