What is the Greatest Common Factor of 14580 and 14592?

Greatest common factor (GCF) of 14580 and 14592 is 12.

GCF(14580,14592) = 12

We will now calculate the prime factors of 14580 and 14592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14580 and 14592.

How to find the GCF of 14580 and 14592?

We will first find the prime factorization of 14580 and 14592. After we will calculate the factors of 14580 and 14592 and find the biggest common factor number .

Step-1: Prime Factorization of 14580

Prime factors of 14580 are 2, 3, 5. Prime factorization of 14580 in exponential form is:

14580 = 2² × 3⁶ × 5¹

Step-2: Prime Factorization of 14592

Prime factors of 14592 are 2, 3, 19. Prime factorization of 14592 in exponential form is:

14592 = 2⁸ × 3¹ × 19¹

Step-3: Factors of 14580

List of positive integer factors of 14580 that divides 14580 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 729, 810, 972, 1215, 1458, 1620, 2430, 2916, 3645, 4860, 7290

Step-4: Factors of 14592

List of positive integer factors of 14592 that divides 14580 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 256, 304, 384, 456, 608, 768, 912, 1216, 1824, 2432, 3648, 4864, 7296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14580 and 14592. The biggest common factor number is the GCF number.
So the greatest common factor 14580 and 14592 is 12.

Also check out the Least Common Multiple of 14580 and 14592