What is the Greatest Common Factor of 9917 and 9933?

Greatest common factor (GCF) of 9917 and 9933 is 1.

GCF(9917,9933) = 1

We will now calculate the prime factors of 9917 and 9933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9917 and 9933.

How to find the GCF of 9917 and 9933?

We will first find the prime factorization of 9917 and 9933. After we will calculate the factors of 9917 and 9933 and find the biggest common factor number .

Step-1: Prime Factorization of 9917

Prime factors of 9917 are 47, 211. Prime factorization of 9917 in exponential form is:

9917 = 47¹ × 211¹

Step-2: 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-3: Factors of 9917

List of positive integer factors of 9917 that divides 9917 without a remainder.

1, 47, 211

Step-4: Factors of 9933

List of positive integer factors of 9933 that divides 9917 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9917 and 9933. The biggest common factor number is the GCF number.
So the greatest common factor 9917 and 9933 is 1.

Also check out the Least Common Multiple of 9917 and 9933