What is the Greatest Common Factor of 14592 and 14608?

Greatest common factor (GCF) of 14592 and 14608 is 16.

GCF(14592,14608) = 16

We will now calculate the prime factors of 14592 and 14608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14592 and 14608.

How to find the GCF of 14592 and 14608?

We will first find the prime factorization of 14592 and 14608. After we will calculate the factors of 14592 and 14608 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14608

Prime factors of 14608 are 2, 11, 83. Prime factorization of 14608 in exponential form is:

14608 = 2⁴ × 11¹ × 83¹

Step-3: Factors of 14592

List of positive integer factors of 14592 that divides 14592 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

Step-4: Factors of 14608

List of positive integer factors of 14608 that divides 14592 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 83, 88, 166, 176, 332, 664, 913, 1328, 1826, 3652, 7304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14592 and 14608. The biggest common factor number is the GCF number.
So the greatest common factor 14592 and 14608 is 16.

Also check out the Least Common Multiple of 14592 and 14608