What is the Greatest Common Factor of 16443 and 16461?

Greatest common factor (GCF) of 16443 and 16461 is 9.

GCF(16443,16461) = 9

We will now calculate the prime factors of 16443 and 16461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16443 and 16461.

How to find the GCF of 16443 and 16461?

We will first find the prime factorization of 16443 and 16461. After we will calculate the factors of 16443 and 16461 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 16461

Prime factors of 16461 are 3, 31, 59. Prime factorization of 16461 in exponential form is:

16461 = 3² × 31¹ × 59¹

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 16461

List of positive integer factors of 16461 that divides 16443 without a remainder.

1, 3, 9, 31, 59, 93, 177, 279, 531, 1829, 5487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16443 and 16461. The biggest common factor number is the GCF number.
So the greatest common factor 16443 and 16461 is 9.

Also check out the Least Common Multiple of 16443 and 16461