What is the Greatest Common Factor of 16464 and 16478?

Greatest common factor (GCF) of 16464 and 16478 is 14.

GCF(16464,16478) = 14

We will now calculate the prime factors of 16464 and 16478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16464 and 16478.

How to find the GCF of 16464 and 16478?

We will first find the prime factorization of 16464 and 16478. After we will calculate the factors of 16464 and 16478 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 16478

Prime factors of 16478 are 2, 7, 11, 107. Prime factorization of 16478 in exponential form is:

16478 = 2¹ × 7¹ × 11¹ × 107¹

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 16478

List of positive integer factors of 16478 that divides 16464 without a remainder.

1, 2, 7, 11, 14, 22, 77, 107, 154, 214, 749, 1177, 1498, 2354, 8239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16464 and 16478. The biggest common factor number is the GCF number.
So the greatest common factor 16464 and 16478 is 14.

Also check out the Least Common Multiple of 16464 and 16478