What is the Greatest Common Factor of 16023 and 16035?

Greatest common factor (GCF) of 16023 and 16035 is 3.

GCF(16023,16035) = 3

We will now calculate the prime factors of 16023 and 16035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16023 and 16035.

How to find the GCF of 16023 and 16035?

We will first find the prime factorization of 16023 and 16035. After we will calculate the factors of 16023 and 16035 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 16035

Prime factors of 16035 are 3, 5, 1069. Prime factorization of 16035 in exponential form is:

16035 = 3¹ × 5¹ × 1069¹

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 16035

List of positive integer factors of 16035 that divides 16023 without a remainder.

1, 3, 5, 15, 1069, 3207, 5345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16023 and 16035. The biggest common factor number is the GCF number.
So the greatest common factor 16023 and 16035 is 3.

Also check out the Least Common Multiple of 16023 and 16035