What is the Greatest Common Factor of 14082 and 14096?

Greatest common factor (GCF) of 14082 and 14096 is 2.

GCF(14082,14096) = 2

We will now calculate the prime factors of 14082 and 14096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14082 and 14096.

How to find the GCF of 14082 and 14096?

We will first find the prime factorization of 14082 and 14096. After we will calculate the factors of 14082 and 14096 and find the biggest common factor number .

Step-1: Prime Factorization of 14082

Prime factors of 14082 are 2, 3, 2347. Prime factorization of 14082 in exponential form is:

14082 = 2¹ × 3¹ × 2347¹

Step-2: Prime Factorization of 14096

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

14096 = 2⁴ × 881¹

Step-3: Factors of 14082

List of positive integer factors of 14082 that divides 14082 without a remainder.

1, 2, 3, 6, 2347, 4694, 7041

Step-4: Factors of 14096

List of positive integer factors of 14096 that divides 14082 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14082 and 14096. The biggest common factor number is the GCF number.
So the greatest common factor 14082 and 14096 is 2.

Also check out the Least Common Multiple of 14082 and 14096