What is the Greatest Common Factor of 14034 and 14054?

Greatest common factor (GCF) of 14034 and 14054 is 2.

GCF(14034,14054) = 2

We will now calculate the prime factors of 14034 and 14054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14034 and 14054.

How to find the GCF of 14034 and 14054?

We will first find the prime factorization of 14034 and 14054. After we will calculate the factors of 14034 and 14054 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14054

Prime factors of 14054 are 2, 7027. Prime factorization of 14054 in exponential form is:

14054 = 2¹ × 7027¹

Step-3: Factors of 14034

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

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

Step-4: Factors of 14054

List of positive integer factors of 14054 that divides 14034 without a remainder.

1, 2, 7027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14034 and 14054. The biggest common factor number is the GCF number.
So the greatest common factor 14034 and 14054 is 2.

Also check out the Least Common Multiple of 14034 and 14054