What is the Greatest Common Factor of 16431 and 16446?

Greatest common factor (GCF) of 16431 and 16446 is 3.

GCF(16431,16446) = 3

We will now calculate the prime factors of 16431 and 16446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16431 and 16446.

How to find the GCF of 16431 and 16446?

We will first find the prime factorization of 16431 and 16446. After we will calculate the factors of 16431 and 16446 and find the biggest common factor number .

Step-1: Prime Factorization of 16431

Prime factors of 16431 are 3, 5477. Prime factorization of 16431 in exponential form is:

16431 = 3¹ × 5477¹

Step-2: Prime Factorization of 16446

Prime factors of 16446 are 2, 3, 2741. Prime factorization of 16446 in exponential form is:

16446 = 2¹ × 3¹ × 2741¹

Step-3: Factors of 16431

List of positive integer factors of 16431 that divides 16431 without a remainder.

1, 3, 5477

Step-4: Factors of 16446

List of positive integer factors of 16446 that divides 16431 without a remainder.

1, 2, 3, 6, 2741, 5482, 8223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16431 and 16446. The biggest common factor number is the GCF number.
So the greatest common factor 16431 and 16446 is 3.

Also check out the Least Common Multiple of 16431 and 16446