What is the Greatest Common Factor of 15453 and 15471?

Greatest common factor (GCF) of 15453 and 15471 is 9.

GCF(15453,15471) = 9

We will now calculate the prime factors of 15453 and 15471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15453 and 15471.

How to find the GCF of 15453 and 15471?

We will first find the prime factorization of 15453 and 15471. After we will calculate the factors of 15453 and 15471 and find the biggest common factor number .

Step-1: Prime Factorization of 15453

Prime factors of 15453 are 3, 17, 101. Prime factorization of 15453 in exponential form is:

15453 = 3² × 17¹ × 101¹

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 15453

List of positive integer factors of 15453 that divides 15453 without a remainder.

1, 3, 9, 17, 51, 101, 153, 303, 909, 1717, 5151

Step-4: Factors of 15471

List of positive integer factors of 15471 that divides 15453 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 15453 and 15471. The biggest common factor number is the GCF number.
So the greatest common factor 15453 and 15471 is 9.

Also check out the Least Common Multiple of 15453 and 15471