What is the Greatest Common Factor of 15459 and 15471?

Greatest common factor (GCF) of 15459 and 15471 is 3.

GCF(15459,15471) = 3

We will now calculate the prime factors of 15459 and 15471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15459 and 15471.

How to find the GCF of 15459 and 15471?

We will first find the prime factorization of 15459 and 15471. After we will calculate the factors of 15459 and 15471 and find the biggest common factor number .

Step-1: Prime Factorization of 15459

Prime factors of 15459 are 3, 5153. Prime factorization of 15459 in exponential form is:

15459 = 3¹ × 5153¹

Step-2: Prime Factorization of 15471

Prime factors of 15471 are 3, 191. Prime factorization of 15471 in exponential form is:

15471 = 3⁴ × 191¹

Step-3: Factors of 15459

List of positive integer factors of 15459 that divides 15459 without a remainder.

1, 3, 5153

Step-4: Factors of 15471

List of positive integer factors of 15471 that divides 15459 without a remainder.

1, 3, 9, 27, 81, 191, 573, 1719, 5157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15459 and 15471. The biggest common factor number is the GCF number.
So the greatest common factor 15459 and 15471 is 3.

Also check out the Least Common Multiple of 15459 and 15471