What is the Greatest Common Factor of 16464 and 16479?

Greatest common factor (GCF) of 16464 and 16479 is 3.

GCF(16464,16479) = 3

We will now calculate the prime factors of 16464 and 16479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16464 and 16479.

How to find the GCF of 16464 and 16479?

We will first find the prime factorization of 16464 and 16479. After we will calculate the factors of 16464 and 16479 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 16479

Prime factors of 16479 are 3, 1831. Prime factorization of 16479 in exponential form is:

16479 = 3² × 1831¹

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 16479

List of positive integer factors of 16479 that divides 16464 without a remainder.

1, 3, 9, 1831, 5493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16464 and 16479. The biggest common factor number is the GCF number.
So the greatest common factor 16464 and 16479 is 3.

Also check out the Least Common Multiple of 16464 and 16479