What is the Greatest Common Factor of 30933 and 30947?

Greatest common factor (GCF) of 30933 and 30947 is 7.

GCF(30933,30947) = 7

We will now calculate the prime factors of 30933 and 30947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30933 and 30947.

How to find the GCF of 30933 and 30947?

We will first find the prime factorization of 30933 and 30947. After we will calculate the factors of 30933 and 30947 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 30947

Prime factors of 30947 are 7, 4421. Prime factorization of 30947 in exponential form is:

30947 = 7¹ × 4421¹

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 30947

List of positive integer factors of 30947 that divides 30933 without a remainder.

1, 7, 4421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30933 and 30947. The biggest common factor number is the GCF number.
So the greatest common factor 30933 and 30947 is 7.

Also check out the Least Common Multiple of 30933 and 30947