What is the Greatest Common Factor of 22165 and 22181?

Greatest common factor (GCF) of 22165 and 22181 is 1.

GCF(22165,22181) = 1

We will now calculate the prime factors of 22165 and 22181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22165 and 22181.

How to find the GCF of 22165 and 22181?

We will first find the prime factorization of 22165 and 22181. After we will calculate the factors of 22165 and 22181 and find the biggest common factor number .

Step-1: Prime Factorization of 22165

Prime factors of 22165 are 5, 11, 13, 31. Prime factorization of 22165 in exponential form is:

22165 = 5¹ × 11¹ × 13¹ × 31¹

Step-2: Prime Factorization of 22181

Prime factors of 22181 are 41, 541. Prime factorization of 22181 in exponential form is:

22181 = 41¹ × 541¹

Step-3: Factors of 22165

List of positive integer factors of 22165 that divides 22165 without a remainder.

1, 5, 11, 13, 31, 55, 65, 143, 155, 341, 403, 715, 1705, 2015, 4433

Step-4: Factors of 22181

List of positive integer factors of 22181 that divides 22165 without a remainder.

1, 41, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22165 and 22181. The biggest common factor number is the GCF number.
So the greatest common factor 22165 and 22181 is 1.

Also check out the Least Common Multiple of 22165 and 22181