What is the Greatest Common Factor of 14017 and 14034?

Greatest common factor (GCF) of 14017 and 14034 is 1.

GCF(14017,14034) = 1

We will now calculate the prime factors of 14017 and 14034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14017 and 14034.

How to find the GCF of 14017 and 14034?

We will first find the prime factorization of 14017 and 14034. After we will calculate the factors of 14017 and 14034 and find the biggest common factor number .

Step-1: Prime Factorization of 14017

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

14017 = 107¹ × 131¹

Step-2: Prime Factorization of 14034

Prime factors of 14034 are 2, 3, 2339. Prime factorization of 14034 in exponential form is:

14034 = 2¹ × 3¹ × 2339¹

Step-3: Factors of 14017

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

1, 107, 131

Step-4: Factors of 14034

List of positive integer factors of 14034 that divides 14017 without a remainder.

1, 2, 3, 6, 2339, 4678, 7017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14017 and 14034. The biggest common factor number is the GCF number.
So the greatest common factor 14017 and 14034 is 1.

Also check out the Least Common Multiple of 14017 and 14034