What is the Greatest Common Factor of 16935 and 16945?

Greatest common factor (GCF) of 16935 and 16945 is 5.

GCF(16935,16945) = 5

We will now calculate the prime factors of 16935 and 16945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16935 and 16945.

How to find the GCF of 16935 and 16945?

We will first find the prime factorization of 16935 and 16945. After we will calculate the factors of 16935 and 16945 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 16945

Prime factors of 16945 are 5, 3389. Prime factorization of 16945 in exponential form is:

16945 = 5¹ × 3389¹

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 16945

List of positive integer factors of 16945 that divides 16935 without a remainder.

1, 5, 3389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16935 and 16945. The biggest common factor number is the GCF number.
So the greatest common factor 16935 and 16945 is 5.

Also check out the Least Common Multiple of 16935 and 16945