What is the Greatest Common Factor of 16013 and 16023?

Greatest common factor (GCF) of 16013 and 16023 is 1.

GCF(16013,16023) = 1

We will now calculate the prime factors of 16013 and 16023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16013 and 16023.

How to find the GCF of 16013 and 16023?

We will first find the prime factorization of 16013 and 16023. After we will calculate the factors of 16013 and 16023 and find the biggest common factor number .

Step-1: Prime Factorization of 16013

Prime factors of 16013 are 67, 239. Prime factorization of 16013 in exponential form is:

16013 = 67¹ × 239¹

Step-2: 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-3: Factors of 16013

List of positive integer factors of 16013 that divides 16013 without a remainder.

1, 67, 239

Step-4: Factors of 16023

List of positive integer factors of 16023 that divides 16013 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16013 and 16023. The biggest common factor number is the GCF number.
So the greatest common factor 16013 and 16023 is 1.

Also check out the Least Common Multiple of 16013 and 16023