What is the Greatest Common Factor of 16845 and 16859?

Greatest common factor (GCF) of 16845 and 16859 is 1.

GCF(16845,16859) = 1

We will now calculate the prime factors of 16845 and 16859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16845 and 16859.

How to find the GCF of 16845 and 16859?

We will first find the prime factorization of 16845 and 16859. After we will calculate the factors of 16845 and 16859 and find the biggest common factor number .

Step-1: Prime Factorization of 16845

Prime factors of 16845 are 3, 5, 1123. Prime factorization of 16845 in exponential form is:

16845 = 3¹ × 5¹ × 1123¹

Step-2: Prime Factorization of 16859

Prime factors of 16859 are 23, 733. Prime factorization of 16859 in exponential form is:

16859 = 23¹ × 733¹

Step-3: Factors of 16845

List of positive integer factors of 16845 that divides 16845 without a remainder.

1, 3, 5, 15, 1123, 3369, 5615

Step-4: Factors of 16859

List of positive integer factors of 16859 that divides 16845 without a remainder.

1, 23, 733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16845 and 16859. The biggest common factor number is the GCF number.
So the greatest common factor 16845 and 16859 is 1.

Also check out the Least Common Multiple of 16845 and 16859