What is the Greatest Common Factor of 16463 and 16471?

Greatest common factor (GCF) of 16463 and 16471 is 1.

GCF(16463,16471) = 1

We will now calculate the prime factors of 16463 and 16471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16463 and 16471.

How to find the GCF of 16463 and 16471?

We will first find the prime factorization of 16463 and 16471. After we will calculate the factors of 16463 and 16471 and find the biggest common factor number .

Step-1: Prime Factorization of 16463

Prime factors of 16463 are 101, 163. Prime factorization of 16463 in exponential form is:

16463 = 101¹ × 163¹

Step-2: 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-3: Factors of 16463

List of positive integer factors of 16463 that divides 16463 without a remainder.

1, 101, 163

Step-4: Factors of 16471

List of positive integer factors of 16471 that divides 16463 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16463 and 16471. The biggest common factor number is the GCF number.
So the greatest common factor 16463 and 16471 is 1.

Also check out the Least Common Multiple of 16463 and 16471