What is the Greatest Common Factor of 16925 and 16943?

Greatest common factor (GCF) of 16925 and 16943 is 1.

GCF(16925,16943) = 1

We will now calculate the prime factors of 16925 and 16943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16925 and 16943.

How to find the GCF of 16925 and 16943?

We will first find the prime factorization of 16925 and 16943. After we will calculate the factors of 16925 and 16943 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 16943

Prime factors of 16943 are 16943. Prime factorization of 16943 in exponential form is:

16943 = 16943¹

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 16943

List of positive integer factors of 16943 that divides 16925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16925 and 16943. The biggest common factor number is the GCF number.
So the greatest common factor 16925 and 16943 is 1.

Also check out the Least Common Multiple of 16925 and 16943