What is the Greatest Common Factor of 16825 and 16832?

Greatest common factor (GCF) of 16825 and 16832 is 1.

GCF(16825,16832) = 1

We will now calculate the prime factors of 16825 and 16832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16825 and 16832.

How to find the GCF of 16825 and 16832?

We will first find the prime factorization of 16825 and 16832. After we will calculate the factors of 16825 and 16832 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 16832

Prime factors of 16832 are 2, 263. Prime factorization of 16832 in exponential form is:

16832 = 2⁶ × 263¹

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 16832

List of positive integer factors of 16832 that divides 16825 without a remainder.

1, 2, 4, 8, 16, 32, 64, 263, 526, 1052, 2104, 4208, 8416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16825 and 16832. The biggest common factor number is the GCF number.
So the greatest common factor 16825 and 16832 is 1.

Also check out the Least Common Multiple of 16825 and 16832