What is the Greatest Common Factor of 14080 and 14094?

Greatest common factor (GCF) of 14080 and 14094 is 2.

GCF(14080,14094) = 2

We will now calculate the prime factors of 14080 and 14094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14080 and 14094.

How to find the GCF of 14080 and 14094?

We will first find the prime factorization of 14080 and 14094. After we will calculate the factors of 14080 and 14094 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 14094

Prime factors of 14094 are 2, 3, 29. Prime factorization of 14094 in exponential form is:

14094 = 2¹ × 3⁵ × 29¹

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 14094

List of positive integer factors of 14094 that divides 14080 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 243, 261, 486, 522, 783, 1566, 2349, 4698, 7047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14080 and 14094. The biggest common factor number is the GCF number.
So the greatest common factor 14080 and 14094 is 2.

Also check out the Least Common Multiple of 14080 and 14094