What is the Greatest Common Factor of 22017 and 22024?

Greatest common factor (GCF) of 22017 and 22024 is 1.

GCF(22017,22024) = 1

We will now calculate the prime factors of 22017 and 22024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22017 and 22024.

How to find the GCF of 22017 and 22024?

We will first find the prime factorization of 22017 and 22024. After we will calculate the factors of 22017 and 22024 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22024

Prime factors of 22024 are 2, 2753. Prime factorization of 22024 in exponential form is:

22024 = 2³ × 2753¹

Step-3: Factors of 22017

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

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

Step-4: Factors of 22024

List of positive integer factors of 22024 that divides 22017 without a remainder.

1, 2, 4, 8, 2753, 5506, 11012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22017 and 22024. The biggest common factor number is the GCF number.
So the greatest common factor 22017 and 22024 is 1.

Also check out the Least Common Multiple of 22017 and 22024