What is the Greatest Common Factor of 16464 and 16473?

Greatest common factor (GCF) of 16464 and 16473 is 3.

GCF(16464,16473) = 3

We will now calculate the prime factors of 16464 and 16473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16464 and 16473.

How to find the GCF of 16464 and 16473?

We will first find the prime factorization of 16464 and 16473. After we will calculate the factors of 16464 and 16473 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 16473

Prime factors of 16473 are 3, 17, 19. Prime factorization of 16473 in exponential form is:

16473 = 3¹ × 17² × 19¹

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 16473

List of positive integer factors of 16473 that divides 16464 without a remainder.

1, 3, 17, 19, 51, 57, 289, 323, 867, 969, 5491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16464 and 16473. The biggest common factor number is the GCF number.
So the greatest common factor 16464 and 16473 is 3.

Also check out the Least Common Multiple of 16464 and 16473