What is the Greatest Common Factor of 16838 and 16845?

Greatest common factor (GCF) of 16838 and 16845 is 1.

GCF(16838,16845) = 1

We will now calculate the prime factors of 16838 and 16845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16838 and 16845.

How to find the GCF of 16838 and 16845?

We will first find the prime factorization of 16838 and 16845. After we will calculate the factors of 16838 and 16845 and find the biggest common factor number .

Step-1: Prime Factorization of 16838

Prime factors of 16838 are 2, 8419. Prime factorization of 16838 in exponential form is:

16838 = 2¹ × 8419¹

Step-2: 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-3: Factors of 16838

List of positive integer factors of 16838 that divides 16838 without a remainder.

1, 2, 8419

Step-4: Factors of 16845

List of positive integer factors of 16845 that divides 16838 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16838 and 16845. The biggest common factor number is the GCF number.
So the greatest common factor 16838 and 16845 is 1.

Also check out the Least Common Multiple of 16838 and 16845