What is the Greatest Common Factor of 16452 and 16464?

Greatest common factor (GCF) of 16452 and 16464 is 12.

GCF(16452,16464) = 12

We will now calculate the prime factors of 16452 and 16464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16452 and 16464.

How to find the GCF of 16452 and 16464?

We will first find the prime factorization of 16452 and 16464. After we will calculate the factors of 16452 and 16464 and find the biggest common factor number .

Step-1: Prime Factorization of 16452

Prime factors of 16452 are 2, 3, 457. Prime factorization of 16452 in exponential form is:

16452 = 2² × 3² × 457¹

Step-2: 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-3: Factors of 16452

List of positive integer factors of 16452 that divides 16452 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 457, 914, 1371, 1828, 2742, 4113, 5484, 8226

Step-4: Factors of 16464

List of positive integer factors of 16464 that divides 16452 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16452 and 16464. The biggest common factor number is the GCF number.
So the greatest common factor 16452 and 16464 is 12.

Also check out the Least Common Multiple of 16452 and 16464