What is the Greatest Common Factor of 16464 and 16474?

Greatest common factor (GCF) of 16464 and 16474 is 2.

GCF(16464,16474) = 2

We will now calculate the prime factors of 16464 and 16474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16464 and 16474.

How to find the GCF of 16464 and 16474?

We will first find the prime factorization of 16464 and 16474. After we will calculate the factors of 16464 and 16474 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 16474

Prime factors of 16474 are 2, 8237. Prime factorization of 16474 in exponential form is:

16474 = 2¹ × 8237¹

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 16474

List of positive integer factors of 16474 that divides 16464 without a remainder.

1, 2, 8237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16464 and 16474. The biggest common factor number is the GCF number.
So the greatest common factor 16464 and 16474 is 2.

Also check out the Least Common Multiple of 16464 and 16474