What is the Greatest Common Factor of 14017 and 14036?

Greatest common factor (GCF) of 14017 and 14036 is 1.

GCF(14017,14036) = 1

We will now calculate the prime factors of 14017 and 14036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14017 and 14036.

How to find the GCF of 14017 and 14036?

We will first find the prime factorization of 14017 and 14036. After we will calculate the factors of 14017 and 14036 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 14036

Prime factors of 14036 are 2, 11, 29. Prime factorization of 14036 in exponential form is:

14036 = 2² × 11² × 29¹

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 14036

List of positive integer factors of 14036 that divides 14017 without a remainder.

1, 2, 4, 11, 22, 29, 44, 58, 116, 121, 242, 319, 484, 638, 1276, 3509, 7018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14017 and 14036. The biggest common factor number is the GCF number.
So the greatest common factor 14017 and 14036 is 1.

Also check out the Least Common Multiple of 14017 and 14036