What is the Greatest Common Factor of 16471 and 16484?

Greatest common factor (GCF) of 16471 and 16484 is 13.

GCF(16471,16484) = 13

We will now calculate the prime factors of 16471 and 16484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16471 and 16484.

How to find the GCF of 16471 and 16484?

We will first find the prime factorization of 16471 and 16484. After we will calculate the factors of 16471 and 16484 and find the biggest common factor number .

Step-1: Prime Factorization of 16471

Prime factors of 16471 are 7, 13, 181. Prime factorization of 16471 in exponential form is:

16471 = 7¹ × 13¹ × 181¹

Step-2: Prime Factorization of 16484

Prime factors of 16484 are 2, 13, 317. Prime factorization of 16484 in exponential form is:

16484 = 2² × 13¹ × 317¹

Step-3: Factors of 16471

List of positive integer factors of 16471 that divides 16471 without a remainder.

1, 7, 13, 91, 181, 1267, 2353

Step-4: Factors of 16484

List of positive integer factors of 16484 that divides 16471 without a remainder.

1, 2, 4, 13, 26, 52, 317, 634, 1268, 4121, 8242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16471 and 16484. The biggest common factor number is the GCF number.
So the greatest common factor 16471 and 16484 is 13.

Also check out the Least Common Multiple of 16471 and 16484