What is the Greatest Common Factor of 16464 and 16471?

Greatest common factor (GCF) of 16464 and 16471 is 7.

GCF(16464,16471) = 7

We will now calculate the prime factors of 16464 and 16471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16464 and 16471.

How to find the GCF of 16464 and 16471?

We will first find the prime factorization of 16464 and 16471. After we will calculate the factors of 16464 and 16471 and find the biggest common factor number .

Step-1: Prime Factorization of 16464

Prime factors of 16464 are 2, 3, 7. Prime factorization of 16464 in exponential form is:

16464 = 2⁴ × 3¹ × 7³

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 16464

List of positive integer factors of 16464 that divides 16464 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 343, 392, 588, 686, 784, 1029, 1176, 1372, 2058, 2352, 2744, 4116, 5488, 8232

Step-4: Factors of 16471

List of positive integer factors of 16471 that divides 16464 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16464 and 16471. The biggest common factor number is the GCF number.
So the greatest common factor 16464 and 16471 is 7.

Also check out the Least Common Multiple of 16464 and 16471