What is the Greatest Common Factor of 16464 and 16480?

Greatest common factor (GCF) of 16464 and 16480 is 16.

GCF(16464,16480) = 16

We will now calculate the prime factors of 16464 and 16480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16464 and 16480.

How to find the GCF of 16464 and 16480?

We will first find the prime factorization of 16464 and 16480. After we will calculate the factors of 16464 and 16480 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 16480

Prime factors of 16480 are 2, 5, 103. Prime factorization of 16480 in exponential form is:

16480 = 2⁵ × 5¹ × 103¹

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 16480

List of positive integer factors of 16480 that divides 16464 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 103, 160, 206, 412, 515, 824, 1030, 1648, 2060, 3296, 4120, 8240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16464 and 16480. The biggest common factor number is the GCF number.
So the greatest common factor 16464 and 16480 is 16.

Also check out the Least Common Multiple of 16464 and 16480