What is the Greatest Common Factor of 18007 and 18022?

Greatest common factor (GCF) of 18007 and 18022 is 1.

GCF(18007,18022) = 1

We will now calculate the prime factors of 18007 and 18022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18007 and 18022.

How to find the GCF of 18007 and 18022?

We will first find the prime factorization of 18007 and 18022. After we will calculate the factors of 18007 and 18022 and find the biggest common factor number .

Step-1: Prime Factorization of 18007

Prime factors of 18007 are 11, 1637. Prime factorization of 18007 in exponential form is:

18007 = 11¹ × 1637¹

Step-2: Prime Factorization of 18022

Prime factors of 18022 are 2, 9011. Prime factorization of 18022 in exponential form is:

18022 = 2¹ × 9011¹

Step-3: Factors of 18007

List of positive integer factors of 18007 that divides 18007 without a remainder.

1, 11, 1637

Step-4: Factors of 18022

List of positive integer factors of 18022 that divides 18007 without a remainder.

1, 2, 9011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18007 and 18022. The biggest common factor number is the GCF number.
So the greatest common factor 18007 and 18022 is 1.

Also check out the Least Common Multiple of 18007 and 18022