What is the Greatest Common Factor of 16825 and 16844?

Greatest common factor (GCF) of 16825 and 16844 is 1.

GCF(16825,16844) = 1

We will now calculate the prime factors of 16825 and 16844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16825 and 16844.

How to find the GCF of 16825 and 16844?

We will first find the prime factorization of 16825 and 16844. After we will calculate the factors of 16825 and 16844 and find the biggest common factor number .

Step-1: Prime Factorization of 16825

Prime factors of 16825 are 5, 673. Prime factorization of 16825 in exponential form is:

16825 = 5² × 673¹

Step-2: Prime Factorization of 16844

Prime factors of 16844 are 2, 4211. Prime factorization of 16844 in exponential form is:

16844 = 2² × 4211¹

Step-3: Factors of 16825

List of positive integer factors of 16825 that divides 16825 without a remainder.

1, 5, 25, 673, 3365

Step-4: Factors of 16844

List of positive integer factors of 16844 that divides 16825 without a remainder.

1, 2, 4, 4211, 8422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16825 and 16844. The biggest common factor number is the GCF number.
So the greatest common factor 16825 and 16844 is 1.

Also check out the Least Common Multiple of 16825 and 16844