What is the Greatest Common Factor of 16464 and 16469?

Greatest common factor (GCF) of 16464 and 16469 is 1.

GCF(16464,16469) = 1

We will now calculate the prime factors of 16464 and 16469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16464 and 16469.

How to find the GCF of 16464 and 16469?

We will first find the prime factorization of 16464 and 16469. After we will calculate the factors of 16464 and 16469 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 16469

Prime factors of 16469 are 43, 383. Prime factorization of 16469 in exponential form is:

16469 = 43¹ × 383¹

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 16469

List of positive integer factors of 16469 that divides 16464 without a remainder.

1, 43, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16464 and 16469. The biggest common factor number is the GCF number.
So the greatest common factor 16464 and 16469 is 1.

Also check out the Least Common Multiple of 16464 and 16469