What is the Greatest Common Factor of 16434 and 16443?

Greatest common factor (GCF) of 16434 and 16443 is 9.

GCF(16434,16443) = 9

We will now calculate the prime factors of 16434 and 16443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16434 and 16443.

How to find the GCF of 16434 and 16443?

We will first find the prime factorization of 16434 and 16443. After we will calculate the factors of 16434 and 16443 and find the biggest common factor number .

Step-1: Prime Factorization of 16434

Prime factors of 16434 are 2, 3, 11, 83. Prime factorization of 16434 in exponential form is:

16434 = 2¹ × 3² × 11¹ × 83¹

Step-2: Prime Factorization of 16443

Prime factors of 16443 are 3, 7, 29. Prime factorization of 16443 in exponential form is:

16443 = 3⁴ × 7¹ × 29¹

Step-3: Factors of 16434

List of positive integer factors of 16434 that divides 16434 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 83, 99, 166, 198, 249, 498, 747, 913, 1494, 1826, 2739, 5478, 8217

Step-4: Factors of 16443

List of positive integer factors of 16443 that divides 16434 without a remainder.

1, 3, 7, 9, 21, 27, 29, 63, 81, 87, 189, 203, 261, 567, 609, 783, 1827, 2349, 5481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16434 and 16443. The biggest common factor number is the GCF number.
So the greatest common factor 16434 and 16443 is 9.

Also check out the Least Common Multiple of 16434 and 16443