What is the Greatest Common Factor of 16825 and 16835?

Greatest common factor (GCF) of 16825 and 16835 is 5.

GCF(16825,16835) = 5

We will now calculate the prime factors of 16825 and 16835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16825 and 16835.

How to find the GCF of 16825 and 16835?

We will first find the prime factorization of 16825 and 16835. After we will calculate the factors of 16825 and 16835 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 16835

Prime factors of 16835 are 5, 7, 13, 37. Prime factorization of 16835 in exponential form is:

16835 = 5¹ × 7¹ × 13¹ × 37¹

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 16835

List of positive integer factors of 16835 that divides 16825 without a remainder.

1, 5, 7, 13, 35, 37, 65, 91, 185, 259, 455, 481, 1295, 2405, 3367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16825 and 16835. The biggest common factor number is the GCF number.
So the greatest common factor 16825 and 16835 is 5.

Also check out the Least Common Multiple of 16825 and 16835