What is the Greatest Common Factor of 16123 and 16143?

Greatest common factor (GCF) of 16123 and 16143 is 1.

GCF(16123,16143) = 1

We will now calculate the prime factors of 16123 and 16143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16123 and 16143.

How to find the GCF of 16123 and 16143?

We will first find the prime factorization of 16123 and 16143. After we will calculate the factors of 16123 and 16143 and find the biggest common factor number .

Step-1: Prime Factorization of 16123

Prime factors of 16123 are 23, 701. Prime factorization of 16123 in exponential form is:

16123 = 23¹ × 701¹

Step-2: Prime Factorization of 16143

Prime factors of 16143 are 3, 5381. Prime factorization of 16143 in exponential form is:

16143 = 3¹ × 5381¹

Step-3: Factors of 16123

List of positive integer factors of 16123 that divides 16123 without a remainder.

1, 23, 701

Step-4: Factors of 16143

List of positive integer factors of 16143 that divides 16123 without a remainder.

1, 3, 5381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16123 and 16143. The biggest common factor number is the GCF number.
So the greatest common factor 16123 and 16143 is 1.

Also check out the Least Common Multiple of 16123 and 16143