What is the Greatest Common Factor of 14538 and 14547?

Greatest common factor (GCF) of 14538 and 14547 is 3.

GCF(14538,14547) = 3

We will now calculate the prime factors of 14538 and 14547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14538 and 14547.

How to find the GCF of 14538 and 14547?

We will first find the prime factorization of 14538 and 14547. After we will calculate the factors of 14538 and 14547 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 14547

Prime factors of 14547 are 3, 13, 373. Prime factorization of 14547 in exponential form is:

14547 = 3¹ × 13¹ × 373¹

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 14547

List of positive integer factors of 14547 that divides 14538 without a remainder.

1, 3, 13, 39, 373, 1119, 4849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14538 and 14547. The biggest common factor number is the GCF number.
So the greatest common factor 14538 and 14547 is 3.

Also check out the Least Common Multiple of 14538 and 14547