What is the Greatest Common Factor of 16935 and 16940?

Greatest common factor (GCF) of 16935 and 16940 is 5.

GCF(16935,16940) = 5

We will now calculate the prime factors of 16935 and 16940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16935 and 16940.

How to find the GCF of 16935 and 16940?

We will first find the prime factorization of 16935 and 16940. After we will calculate the factors of 16935 and 16940 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 16940

Prime factors of 16940 are 2, 5, 7, 11. Prime factorization of 16940 in exponential form is:

16940 = 2² × 5¹ × 7¹ × 11²

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 16940

List of positive integer factors of 16940 that divides 16935 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 121, 140, 154, 220, 242, 308, 385, 484, 605, 770, 847, 1210, 1540, 1694, 2420, 3388, 4235, 8470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16935 and 16940. The biggest common factor number is the GCF number.
So the greatest common factor 16935 and 16940 is 5.

Also check out the Least Common Multiple of 16935 and 16940