What is the Greatest Common Factor of 14538 and 14544?

Greatest common factor (GCF) of 14538 and 14544 is 6.

GCF(14538,14544) = 6

We will now calculate the prime factors of 14538 and 14544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14538 and 14544.

How to find the GCF of 14538 and 14544?

We will first find the prime factorization of 14538 and 14544. After we will calculate the factors of 14538 and 14544 and find the biggest common factor number .

Step-1: Prime Factorization of 14538

Prime factors of 14538 are 2, 3, 2423. Prime factorization of 14538 in exponential form is:

14538 = 2¹ × 3¹ × 2423¹

Step-2: 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-3: Factors of 14538

List of positive integer factors of 14538 that divides 14538 without a remainder.

1, 2, 3, 6, 2423, 4846, 7269

Step-4: Factors of 14544

List of positive integer factors of 14544 that divides 14538 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14538 and 14544. The biggest common factor number is the GCF number.
So the greatest common factor 14538 and 14544 is 6.

Also check out the Least Common Multiple of 14538 and 14544