What is the Greatest Common Factor of 16825 and 16837?

Greatest common factor (GCF) of 16825 and 16837 is 1.

GCF(16825,16837) = 1

We will now calculate the prime factors of 16825 and 16837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16825 and 16837.

How to find the GCF of 16825 and 16837?

We will first find the prime factorization of 16825 and 16837. After we will calculate the factors of 16825 and 16837 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 16837

Prime factors of 16837 are 113, 149. Prime factorization of 16837 in exponential form is:

16837 = 113¹ × 149¹

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 16837

List of positive integer factors of 16837 that divides 16825 without a remainder.

1, 113, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16825 and 16837. The biggest common factor number is the GCF number.
So the greatest common factor 16825 and 16837 is 1.

Also check out the Least Common Multiple of 16825 and 16837