What is the Greatest Common Factor of 16452 and 16460?

Greatest common factor (GCF) of 16452 and 16460 is 4.

GCF(16452,16460) = 4

We will now calculate the prime factors of 16452 and 16460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16452 and 16460.

How to find the GCF of 16452 and 16460?

We will first find the prime factorization of 16452 and 16460. After we will calculate the factors of 16452 and 16460 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 16460

Prime factors of 16460 are 2, 5, 823. Prime factorization of 16460 in exponential form is:

16460 = 2² × 5¹ × 823¹

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 16460

List of positive integer factors of 16460 that divides 16452 without a remainder.

1, 2, 4, 5, 10, 20, 823, 1646, 3292, 4115, 8230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16452 and 16460. The biggest common factor number is the GCF number.
So the greatest common factor 16452 and 16460 is 4.

Also check out the Least Common Multiple of 16452 and 16460