What is the Greatest Common Factor of 16925 and 16936?

Greatest common factor (GCF) of 16925 and 16936 is 1.

GCF(16925,16936) = 1

We will now calculate the prime factors of 16925 and 16936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16925 and 16936.

How to find the GCF of 16925 and 16936?

We will first find the prime factorization of 16925 and 16936. After we will calculate the factors of 16925 and 16936 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 16936

Prime factors of 16936 are 2, 29, 73. Prime factorization of 16936 in exponential form is:

16936 = 2³ × 29¹ × 73¹

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 16936

List of positive integer factors of 16936 that divides 16925 without a remainder.

1, 2, 4, 8, 29, 58, 73, 116, 146, 232, 292, 584, 2117, 4234, 8468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16925 and 16936. The biggest common factor number is the GCF number.
So the greatest common factor 16925 and 16936 is 1.

Also check out the Least Common Multiple of 16925 and 16936