What is the Greatest Common Factor of 16443 and 16458?

Greatest common factor (GCF) of 16443 and 16458 is 3.

GCF(16443,16458) = 3

We will now calculate the prime factors of 16443 and 16458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16443 and 16458.

How to find the GCF of 16443 and 16458?

We will first find the prime factorization of 16443 and 16458. After we will calculate the factors of 16443 and 16458 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16458

Prime factors of 16458 are 2, 3, 13, 211. Prime factorization of 16458 in exponential form is:

16458 = 2¹ × 3¹ × 13¹ × 211¹

Step-3: Factors of 16443

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

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

Step-4: Factors of 16458

List of positive integer factors of 16458 that divides 16443 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 211, 422, 633, 1266, 2743, 5486, 8229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16443 and 16458. The biggest common factor number is the GCF number.
So the greatest common factor 16443 and 16458 is 3.

Also check out the Least Common Multiple of 16443 and 16458