What is the Greatest Common Factor of 16452 and 16462?

Greatest common factor (GCF) of 16452 and 16462 is 2.

GCF(16452,16462) = 2

We will now calculate the prime factors of 16452 and 16462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16452 and 16462.

How to find the GCF of 16452 and 16462?

We will first find the prime factorization of 16452 and 16462. After we will calculate the factors of 16452 and 16462 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 16462

Prime factors of 16462 are 2, 8231. Prime factorization of 16462 in exponential form is:

16462 = 2¹ × 8231¹

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 16462

List of positive integer factors of 16462 that divides 16452 without a remainder.

1, 2, 8231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16452 and 16462. The biggest common factor number is the GCF number.
So the greatest common factor 16452 and 16462 is 2.

Also check out the Least Common Multiple of 16452 and 16462