What is the Greatest Common Factor of 14544 and 14563?

Greatest common factor (GCF) of 14544 and 14563 is 1.

GCF(14544,14563) = 1

We will now calculate the prime factors of 14544 and 14563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14544 and 14563.

How to find the GCF of 14544 and 14563?

We will first find the prime factorization of 14544 and 14563. After we will calculate the factors of 14544 and 14563 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 14563

Prime factors of 14563 are 14563. Prime factorization of 14563 in exponential form is:

14563 = 14563¹

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 14563

List of positive integer factors of 14563 that divides 14544 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14544 and 14563. The biggest common factor number is the GCF number.
So the greatest common factor 14544 and 14563 is 1.

Also check out the Least Common Multiple of 14544 and 14563