What is the Greatest Common Factor of 14544 and 14559?

Greatest common factor (GCF) of 14544 and 14559 is 3.

GCF(14544,14559) = 3

We will now calculate the prime factors of 14544 and 14559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14544 and 14559.

How to find the GCF of 14544 and 14559?

We will first find the prime factorization of 14544 and 14559. After we will calculate the factors of 14544 and 14559 and find the biggest common factor number .

Step-1: Prime Factorization of 14544

Prime factors of 14544 are 2, 3, 101. Prime factorization of 14544 in exponential form is:

14544 = 2⁴ × 3² × 101¹

Step-2: Prime Factorization of 14559

Prime factors of 14559 are 3, 23, 211. Prime factorization of 14559 in exponential form is:

14559 = 3¹ × 23¹ × 211¹

Step-3: Factors of 14544

List of positive integer factors of 14544 that divides 14544 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 101, 144, 202, 303, 404, 606, 808, 909, 1212, 1616, 1818, 2424, 3636, 4848, 7272

Step-4: Factors of 14559

List of positive integer factors of 14559 that divides 14544 without a remainder.

1, 3, 23, 69, 211, 633, 4853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14544 and 14559. The biggest common factor number is the GCF number.
So the greatest common factor 14544 and 14559 is 3.

Also check out the Least Common Multiple of 14544 and 14559