What is the Greatest Common Factor of 933 and 945?

Greatest common factor (GCF) of 933 and 945 is 3.

GCF(933,945) = 3

We will now calculate the prime factors of 933 and 945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 933 and 945.

How to find the GCF of 933 and 945?

We will first find the prime factorization of 933 and 945. After we will calculate the factors of 933 and 945 and find the biggest common factor number .

Step-1: Prime Factorization of 933

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

933 = 3¹ × 311¹

Step-2: Prime Factorization of 945

Prime factors of 945 are 3, 5, 7. Prime factorization of 945 in exponential form is:

945 = 3³ × 5¹ × 7¹

Step-3: Factors of 933

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

1, 3, 311

Step-4: Factors of 945

List of positive integer factors of 945 that divides 933 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 933 and 945. The biggest common factor number is the GCF number.
So the greatest common factor 933 and 945 is 3.

Also check out the Least Common Multiple of 933 and 945