What is the Greatest Common Factor of 22165 and 22179?

Greatest common factor (GCF) of 22165 and 22179 is 1.

GCF(22165,22179) = 1

We will now calculate the prime factors of 22165 and 22179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22165 and 22179.

How to find the GCF of 22165 and 22179?

We will first find the prime factorization of 22165 and 22179. After we will calculate the factors of 22165 and 22179 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 22179

Prime factors of 22179 are 3, 7393. Prime factorization of 22179 in exponential form is:

22179 = 3¹ × 7393¹

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 22179

List of positive integer factors of 22179 that divides 22165 without a remainder.

1, 3, 7393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22165 and 22179. The biggest common factor number is the GCF number.
So the greatest common factor 22165 and 22179 is 1.

Also check out the Least Common Multiple of 22165 and 22179