What is the Greatest Common Factor of 16807 and 16825?

Greatest common factor (GCF) of 16807 and 16825 is 1.

GCF(16807,16825) = 1

We will now calculate the prime factors of 16807 and 16825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16807 and 16825.

How to find the GCF of 16807 and 16825?

We will first find the prime factorization of 16807 and 16825. After we will calculate the factors of 16807 and 16825 and find the biggest common factor number .

Step-1: Prime Factorization of 16807

Prime factors of 16807 are 7. Prime factorization of 16807 in exponential form is:

16807 = 7⁵

Step-2: Prime Factorization of 16825

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

16825 = 5² × 673¹

Step-3: Factors of 16807

List of positive integer factors of 16807 that divides 16807 without a remainder.

1, 7, 49, 343, 2401

Step-4: Factors of 16825

List of positive integer factors of 16825 that divides 16807 without a remainder.

1, 5, 25, 673, 3365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16807 and 16825. The biggest common factor number is the GCF number.
So the greatest common factor 16807 and 16825 is 1.

Also check out the Least Common Multiple of 16807 and 16825