What is the Greatest Common Factor of 22009 and 22017?

Greatest common factor (GCF) of 22009 and 22017 is 1.

GCF(22009,22017) = 1

We will now calculate the prime factors of 22009 and 22017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22009 and 22017.

How to find the GCF of 22009 and 22017?

We will first find the prime factorization of 22009 and 22017. After we will calculate the factors of 22009 and 22017 and find the biggest common factor number .

Step-1: Prime Factorization of 22009

Prime factors of 22009 are 13, 1693. Prime factorization of 22009 in exponential form is:

22009 = 13¹ × 1693¹

Step-2: Prime Factorization of 22017

Prime factors of 22017 are 3, 41, 179. Prime factorization of 22017 in exponential form is:

22017 = 3¹ × 41¹ × 179¹

Step-3: Factors of 22009

List of positive integer factors of 22009 that divides 22009 without a remainder.

1, 13, 1693

Step-4: Factors of 22017

List of positive integer factors of 22017 that divides 22009 without a remainder.

1, 3, 41, 123, 179, 537, 7339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22009 and 22017. The biggest common factor number is the GCF number.
So the greatest common factor 22009 and 22017 is 1.

Also check out the Least Common Multiple of 22009 and 22017