What is the Greatest Common Factor of 14544 and 14562?

Greatest common factor (GCF) of 14544 and 14562 is 18.

GCF(14544,14562) = 18

We will now calculate the prime factors of 14544 and 14562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14544 and 14562.

How to find the GCF of 14544 and 14562?

We will first find the prime factorization of 14544 and 14562. After we will calculate the factors of 14544 and 14562 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 14562

Prime factors of 14562 are 2, 3, 809. Prime factorization of 14562 in exponential form is:

14562 = 2¹ × 3² × 809¹

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 14562

List of positive integer factors of 14562 that divides 14544 without a remainder.

1, 2, 3, 6, 9, 18, 809, 1618, 2427, 4854, 7281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14544 and 14562. The biggest common factor number is the GCF number.
So the greatest common factor 14544 and 14562 is 18.

Also check out the Least Common Multiple of 14544 and 14562