What is the Greatest Common Factor of 30933 and 30945?

Greatest common factor (GCF) of 30933 and 30945 is 3.

GCF(30933,30945) = 3

We will now calculate the prime factors of 30933 and 30945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30933 and 30945.

How to find the GCF of 30933 and 30945?

We will first find the prime factorization of 30933 and 30945. After we will calculate the factors of 30933 and 30945 and find the biggest common factor number .

Step-1: Prime Factorization of 30933

Prime factors of 30933 are 3, 7, 491. Prime factorization of 30933 in exponential form is:

30933 = 3² × 7¹ × 491¹

Step-2: Prime Factorization of 30945

Prime factors of 30945 are 3, 5, 2063. Prime factorization of 30945 in exponential form is:

30945 = 3¹ × 5¹ × 2063¹

Step-3: Factors of 30933

List of positive integer factors of 30933 that divides 30933 without a remainder.

1, 3, 7, 9, 21, 63, 491, 1473, 3437, 4419, 10311

Step-4: Factors of 30945

List of positive integer factors of 30945 that divides 30933 without a remainder.

1, 3, 5, 15, 2063, 6189, 10315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30933 and 30945. The biggest common factor number is the GCF number.
So the greatest common factor 30933 and 30945 is 3.

Also check out the Least Common Multiple of 30933 and 30945