What is the Greatest Common Factor of 16935 and 16943?

Greatest common factor (GCF) of 16935 and 16943 is 1.

GCF(16935,16943) = 1

We will now calculate the prime factors of 16935 and 16943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16935 and 16943.

How to find the GCF of 16935 and 16943?

We will first find the prime factorization of 16935 and 16943. After we will calculate the factors of 16935 and 16943 and find the biggest common factor number .

Step-1: Prime Factorization of 16935

Prime factors of 16935 are 3, 5, 1129. Prime factorization of 16935 in exponential form is:

16935 = 3¹ × 5¹ × 1129¹

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 16935

List of positive integer factors of 16935 that divides 16935 without a remainder.

1, 3, 5, 15, 1129, 3387, 5645

Step-4: Factors of 16943

List of positive integer factors of 16943 that divides 16935 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16935 and 16943. The biggest common factor number is the GCF number.
So the greatest common factor 16935 and 16943 is 1.

Also check out the Least Common Multiple of 16935 and 16943