What is the Greatest Common Factor of 16925 and 16930?

Greatest common factor (GCF) of 16925 and 16930 is 5.

GCF(16925,16930) = 5

We will now calculate the prime factors of 16925 and 16930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16925 and 16930.

How to find the GCF of 16925 and 16930?

We will first find the prime factorization of 16925 and 16930. After we will calculate the factors of 16925 and 16930 and find the biggest common factor number .

Step-1: Prime Factorization of 16925

Prime factors of 16925 are 5, 677. Prime factorization of 16925 in exponential form is:

16925 = 5² × 677¹

Step-2: Prime Factorization of 16930

Prime factors of 16930 are 2, 5, 1693. Prime factorization of 16930 in exponential form is:

16930 = 2¹ × 5¹ × 1693¹

Step-3: Factors of 16925

List of positive integer factors of 16925 that divides 16925 without a remainder.

1, 5, 25, 677, 3385

Step-4: Factors of 16930

List of positive integer factors of 16930 that divides 16925 without a remainder.

1, 2, 5, 10, 1693, 3386, 8465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16925 and 16930. The biggest common factor number is the GCF number.
So the greatest common factor 16925 and 16930 is 5.

Also check out the Least Common Multiple of 16925 and 16930