What is the Greatest Common Factor of 18008 and 18026?

Greatest common factor (GCF) of 18008 and 18026 is 2.

GCF(18008,18026) = 2

We will now calculate the prime factors of 18008 and 18026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18008 and 18026.

How to find the GCF of 18008 and 18026?

We will first find the prime factorization of 18008 and 18026. After we will calculate the factors of 18008 and 18026 and find the biggest common factor number .

Step-1: Prime Factorization of 18008

Prime factors of 18008 are 2, 2251. Prime factorization of 18008 in exponential form is:

18008 = 2³ × 2251¹

Step-2: Prime Factorization of 18026

Prime factors of 18026 are 2, 9013. Prime factorization of 18026 in exponential form is:

18026 = 2¹ × 9013¹

Step-3: Factors of 18008

List of positive integer factors of 18008 that divides 18008 without a remainder.

1, 2, 4, 8, 2251, 4502, 9004

Step-4: Factors of 18026

List of positive integer factors of 18026 that divides 18008 without a remainder.

1, 2, 9013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18008 and 18026. The biggest common factor number is the GCF number.
So the greatest common factor 18008 and 18026 is 2.

Also check out the Least Common Multiple of 18008 and 18026