What is the Greatest Common Factor of 14080 and 14088?

Greatest common factor (GCF) of 14080 and 14088 is 8.

GCF(14080,14088) = 8

We will now calculate the prime factors of 14080 and 14088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14080 and 14088.

How to find the GCF of 14080 and 14088?

We will first find the prime factorization of 14080 and 14088. After we will calculate the factors of 14080 and 14088 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 14088

Prime factors of 14088 are 2, 3, 587. Prime factorization of 14088 in exponential form is:

14088 = 2³ × 3¹ × 587¹

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 14088

List of positive integer factors of 14088 that divides 14080 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 587, 1174, 1761, 2348, 3522, 4696, 7044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14080 and 14088. The biggest common factor number is the GCF number.
So the greatest common factor 14080 and 14088 is 8.

Also check out the Least Common Multiple of 14080 and 14088