What is the Greatest Common Factor of 9933 and 9947?

Greatest common factor (GCF) of 9933 and 9947 is 7.

GCF(9933,9947) = 7

We will now calculate the prime factors of 9933 and 9947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9933 and 9947.

How to find the GCF of 9933 and 9947?

We will first find the prime factorization of 9933 and 9947. After we will calculate the factors of 9933 and 9947 and find the biggest common factor number .

Step-1: Prime Factorization of 9933

Prime factors of 9933 are 3, 7, 11, 43. Prime factorization of 9933 in exponential form is:

9933 = 3¹ × 7¹ × 11¹ × 43¹

Step-2: Prime Factorization of 9947

Prime factors of 9947 are 7, 29. Prime factorization of 9947 in exponential form is:

9947 = 7³ × 29¹

Step-3: Factors of 9933

List of positive integer factors of 9933 that divides 9933 without a remainder.

1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311

Step-4: Factors of 9947

List of positive integer factors of 9947 that divides 9933 without a remainder.

1, 7, 29, 49, 203, 343, 1421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9933 and 9947. The biggest common factor number is the GCF number.
So the greatest common factor 9933 and 9947 is 7.

Also check out the Least Common Multiple of 9933 and 9947