What is the Greatest Common Factor of 16816 and 16825?

Greatest common factor (GCF) of 16816 and 16825 is 1.

GCF(16816,16825) = 1

We will now calculate the prime factors of 16816 and 16825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16816 and 16825.

How to find the GCF of 16816 and 16825?

We will first find the prime factorization of 16816 and 16825. After we will calculate the factors of 16816 and 16825 and find the biggest common factor number .

Step-1: Prime Factorization of 16816

Prime factors of 16816 are 2, 1051. Prime factorization of 16816 in exponential form is:

16816 = 2⁴ × 1051¹

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 16816

List of positive integer factors of 16816 that divides 16816 without a remainder.

1, 2, 4, 8, 16, 1051, 2102, 4204, 8408

Step-4: Factors of 16825

List of positive integer factors of 16825 that divides 16816 without a remainder.

1, 5, 25, 673, 3365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16816 and 16825. The biggest common factor number is the GCF number.
So the greatest common factor 16816 and 16825 is 1.

Also check out the Least Common Multiple of 16816 and 16825