What is the Greatest Common Factor of 16845 and 16853?

Greatest common factor (GCF) of 16845 and 16853 is 1.

GCF(16845,16853) = 1

We will now calculate the prime factors of 16845 and 16853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16845 and 16853.

How to find the GCF of 16845 and 16853?

We will first find the prime factorization of 16845 and 16853. After we will calculate the factors of 16845 and 16853 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 16853

Prime factors of 16853 are 19, 887. Prime factorization of 16853 in exponential form is:

16853 = 19¹ × 887¹

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 16853

List of positive integer factors of 16853 that divides 16845 without a remainder.

1, 19, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16845 and 16853. The biggest common factor number is the GCF number.
So the greatest common factor 16845 and 16853 is 1.

Also check out the Least Common Multiple of 16845 and 16853