What is the Greatest Common Factor of 16464 and 16475?

Greatest common factor (GCF) of 16464 and 16475 is 1.

GCF(16464,16475) = 1

We will now calculate the prime factors of 16464 and 16475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16464 and 16475.

How to find the GCF of 16464 and 16475?

We will first find the prime factorization of 16464 and 16475. After we will calculate the factors of 16464 and 16475 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 16475

Prime factors of 16475 are 5, 659. Prime factorization of 16475 in exponential form is:

16475 = 5² × 659¹

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 16475

List of positive integer factors of 16475 that divides 16464 without a remainder.

1, 5, 25, 659, 3295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16464 and 16475. The biggest common factor number is the GCF number.
So the greatest common factor 16464 and 16475 is 1.

Also check out the Least Common Multiple of 16464 and 16475