What is the Greatest Common Factor of 14080 and 14095?

Greatest common factor (GCF) of 14080 and 14095 is 5.

GCF(14080,14095) = 5

We will now calculate the prime factors of 14080 and 14095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14080 and 14095.

How to find the GCF of 14080 and 14095?

We will first find the prime factorization of 14080 and 14095. After we will calculate the factors of 14080 and 14095 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 14095

Prime factors of 14095 are 5, 2819. Prime factorization of 14095 in exponential form is:

14095 = 5¹ × 2819¹

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 14095

List of positive integer factors of 14095 that divides 14080 without a remainder.

1, 5, 2819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14080 and 14095. The biggest common factor number is the GCF number.
So the greatest common factor 14080 and 14095 is 5.

Also check out the Least Common Multiple of 14080 and 14095