What is the Greatest Common Factor of 16845 and 16849?

Greatest common factor (GCF) of 16845 and 16849 is 1.

GCF(16845,16849) = 1

We will now calculate the prime factors of 16845 and 16849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16845 and 16849.

How to find the GCF of 16845 and 16849?

We will first find the prime factorization of 16845 and 16849. After we will calculate the factors of 16845 and 16849 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 16849

Prime factors of 16849 are 7, 29, 83. Prime factorization of 16849 in exponential form is:

16849 = 7¹ × 29¹ × 83¹

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 16849

List of positive integer factors of 16849 that divides 16845 without a remainder.

1, 7, 29, 83, 203, 581, 2407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16845 and 16849. The biggest common factor number is the GCF number.
So the greatest common factor 16845 and 16849 is 1.

Also check out the Least Common Multiple of 16845 and 16849