What is the Greatest Common Factor of 14008 and 14017?

Greatest common factor (GCF) of 14008 and 14017 is 1.

GCF(14008,14017) = 1

We will now calculate the prime factors of 14008 and 14017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14008 and 14017.

How to find the GCF of 14008 and 14017?

We will first find the prime factorization of 14008 and 14017. After we will calculate the factors of 14008 and 14017 and find the biggest common factor number .

Step-1: Prime Factorization of 14008

Prime factors of 14008 are 2, 17, 103. Prime factorization of 14008 in exponential form is:

14008 = 2³ × 17¹ × 103¹

Step-2: Prime Factorization of 14017

Prime factors of 14017 are 107, 131. Prime factorization of 14017 in exponential form is:

14017 = 107¹ × 131¹

Step-3: Factors of 14008

List of positive integer factors of 14008 that divides 14008 without a remainder.

1, 2, 4, 8, 17, 34, 68, 103, 136, 206, 412, 824, 1751, 3502, 7004

Step-4: Factors of 14017

List of positive integer factors of 14017 that divides 14008 without a remainder.

1, 107, 131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14008 and 14017. The biggest common factor number is the GCF number.
So the greatest common factor 14008 and 14017 is 1.

Also check out the Least Common Multiple of 14008 and 14017