What is the Greatest Common Factor of 918 and 933?

Greatest common factor (GCF) of 918 and 933 is 3.

GCF(918,933) = 3

We will now calculate the prime factors of 918 and 933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 918 and 933.

How to find the GCF of 918 and 933?

We will first find the prime factorization of 918 and 933. After we will calculate the factors of 918 and 933 and find the biggest common factor number .

Step-1: Prime Factorization of 918

Prime factors of 918 are 2, 3, 17. Prime factorization of 918 in exponential form is:

918 = 2¹ × 3³ × 17¹

Step-2: Prime Factorization of 933

Prime factors of 933 are 3, 311. Prime factorization of 933 in exponential form is:

933 = 3¹ × 311¹

Step-3: Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459

Step-4: Factors of 933

List of positive integer factors of 933 that divides 918 without a remainder.

1, 3, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 918 and 933. The biggest common factor number is the GCF number.
So the greatest common factor 918 and 933 is 3.

Also check out the Least Common Multiple of 918 and 933