What is the Greatest Common Factor of 17916 and 17933?

Greatest common factor (GCF) of 17916 and 17933 is 1.

GCF(17916,17933) = 1

We will now calculate the prime factors of 17916 and 17933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17916 and 17933.

How to find the GCF of 17916 and 17933?

We will first find the prime factorization of 17916 and 17933. After we will calculate the factors of 17916 and 17933 and find the biggest common factor number .

Step-1: Prime Factorization of 17916

Prime factors of 17916 are 2, 3, 1493. Prime factorization of 17916 in exponential form is:

17916 = 2² × 3¹ × 1493¹

Step-2: Prime Factorization of 17933

Prime factors of 17933 are 79, 227. Prime factorization of 17933 in exponential form is:

17933 = 79¹ × 227¹

Step-3: Factors of 17916

List of positive integer factors of 17916 that divides 17916 without a remainder.

1, 2, 3, 4, 6, 12, 1493, 2986, 4479, 5972, 8958

Step-4: Factors of 17933

List of positive integer factors of 17933 that divides 17916 without a remainder.

1, 79, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17916 and 17933. The biggest common factor number is the GCF number.
So the greatest common factor 17916 and 17933 is 1.

Also check out the Least Common Multiple of 17916 and 17933