What is the Greatest Common Factor of 14080 and 14096?

Greatest common factor (GCF) of 14080 and 14096 is 16.

GCF(14080,14096) = 16

We will now calculate the prime factors of 14080 and 14096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14080 and 14096.

How to find the GCF of 14080 and 14096?

We will first find the prime factorization of 14080 and 14096. After we will calculate the factors of 14080 and 14096 and find the biggest common factor number .

Step-1: Prime Factorization of 14080

Prime factors of 14080 are 2, 5, 11. Prime factorization of 14080 in exponential form is:

14080 = 2⁸ × 5¹ × 11¹

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 14080

List of positive integer factors of 14080 that divides 14080 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 256, 320, 352, 440, 640, 704, 880, 1280, 1408, 1760, 2816, 3520, 7040

Step-4: Factors of 14096

List of positive integer factors of 14096 that divides 14080 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 14080 and 14096. The biggest common factor number is the GCF number.
So the greatest common factor 14080 and 14096 is 16.

Also check out the Least Common Multiple of 14080 and 14096