What is the Greatest Common Factor of 16023 and 16041?

Greatest common factor (GCF) of 16023 and 16041 is 3.

GCF(16023,16041) = 3

We will now calculate the prime factors of 16023 and 16041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16023 and 16041.

How to find the GCF of 16023 and 16041?

We will first find the prime factorization of 16023 and 16041. After we will calculate the factors of 16023 and 16041 and find the biggest common factor number .

Step-1: Prime Factorization of 16023

Prime factors of 16023 are 3, 7, 109. Prime factorization of 16023 in exponential form is:

16023 = 3¹ × 7² × 109¹

Step-2: Prime Factorization of 16041

Prime factors of 16041 are 3, 5347. Prime factorization of 16041 in exponential form is:

16041 = 3¹ × 5347¹

Step-3: Factors of 16023

List of positive integer factors of 16023 that divides 16023 without a remainder.

1, 3, 7, 21, 49, 109, 147, 327, 763, 2289, 5341

Step-4: Factors of 16041

List of positive integer factors of 16041 that divides 16023 without a remainder.

1, 3, 5347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16023 and 16041. The biggest common factor number is the GCF number.
So the greatest common factor 16023 and 16041 is 3.

Also check out the Least Common Multiple of 16023 and 16041