What is the Greatest Common Factor of 14096 and 14114?

Greatest common factor (GCF) of 14096 and 14114 is 2.

GCF(14096,14114) = 2

We will now calculate the prime factors of 14096 and 14114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14096 and 14114.

How to find the GCF of 14096 and 14114?

We will first find the prime factorization of 14096 and 14114. After we will calculate the factors of 14096 and 14114 and find the biggest common factor number .

Step-1: Prime Factorization of 14096

Prime factors of 14096 are 2, 881. Prime factorization of 14096 in exponential form is:

14096 = 2⁴ × 881¹

Step-2: Prime Factorization of 14114

Prime factors of 14114 are 2, 7057. Prime factorization of 14114 in exponential form is:

14114 = 2¹ × 7057¹

Step-3: Factors of 14096

List of positive integer factors of 14096 that divides 14096 without a remainder.

1, 2, 4, 8, 16, 881, 1762, 3524, 7048

Step-4: Factors of 14114

List of positive integer factors of 14114 that divides 14096 without a remainder.

1, 2, 7057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14096 and 14114. The biggest common factor number is the GCF number.
So the greatest common factor 14096 and 14114 is 2.

Also check out the Least Common Multiple of 14096 and 14114