What is the Greatest Common Factor of 16452 and 16456?

Greatest common factor (GCF) of 16452 and 16456 is 4.

GCF(16452,16456) = 4

We will now calculate the prime factors of 16452 and 16456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16452 and 16456.

How to find the GCF of 16452 and 16456?

We will first find the prime factorization of 16452 and 16456. After we will calculate the factors of 16452 and 16456 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 16456

Prime factors of 16456 are 2, 11, 17. Prime factorization of 16456 in exponential form is:

16456 = 2³ × 11² × 17¹

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 16456

List of positive integer factors of 16456 that divides 16452 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 121, 136, 187, 242, 374, 484, 748, 968, 1496, 2057, 4114, 8228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16452 and 16456. The biggest common factor number is the GCF number.
So the greatest common factor 16452 and 16456 is 4.

Also check out the Least Common Multiple of 16452 and 16456