What is the Greatest Common Factor of 14080 and 14091?

Greatest common factor (GCF) of 14080 and 14091 is 11.

GCF(14080,14091) = 11

We will now calculate the prime factors of 14080 and 14091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14080 and 14091.

How to find the GCF of 14080 and 14091?

We will first find the prime factorization of 14080 and 14091. After we will calculate the factors of 14080 and 14091 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 14091

Prime factors of 14091 are 3, 7, 11, 61. Prime factorization of 14091 in exponential form is:

14091 = 3¹ × 7¹ × 11¹ × 61¹

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 14091

List of positive integer factors of 14091 that divides 14080 without a remainder.

1, 3, 7, 11, 21, 33, 61, 77, 183, 231, 427, 671, 1281, 2013, 4697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14080 and 14091. The biggest common factor number is the GCF number.
So the greatest common factor 14080 and 14091 is 11.

Also check out the Least Common Multiple of 14080 and 14091