What is the Greatest Common Factor of 14538 and 14553?

Greatest common factor (GCF) of 14538 and 14553 is 3.

GCF(14538,14553) = 3

We will now calculate the prime factors of 14538 and 14553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14538 and 14553.

How to find the GCF of 14538 and 14553?

We will first find the prime factorization of 14538 and 14553. After we will calculate the factors of 14538 and 14553 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 14553

Prime factors of 14553 are 3, 7, 11. Prime factorization of 14553 in exponential form is:

14553 = 3³ × 7² × 11¹

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 14553

List of positive integer factors of 14553 that divides 14538 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 49, 63, 77, 99, 147, 189, 231, 297, 441, 539, 693, 1323, 1617, 2079, 4851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14538 and 14553. The biggest common factor number is the GCF number.
So the greatest common factor 14538 and 14553 is 3.

Also check out the Least Common Multiple of 14538 and 14553