What is the Greatest Common Factor of 9357 and 9366?

Greatest common factor (GCF) of 9357 and 9366 is 3.

GCF(9357,9366) = 3

We will now calculate the prime factors of 9357 and 9366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9357 and 9366.

How to find the GCF of 9357 and 9366?

We will first find the prime factorization of 9357 and 9366. After we will calculate the factors of 9357 and 9366 and find the biggest common factor number .

Step-1: Prime Factorization of 9357

Prime factors of 9357 are 3, 3119. Prime factorization of 9357 in exponential form is:

9357 = 3¹ × 3119¹

Step-2: Prime Factorization of 9366

Prime factors of 9366 are 2, 3, 7, 223. Prime factorization of 9366 in exponential form is:

9366 = 2¹ × 3¹ × 7¹ × 223¹

Step-3: Factors of 9357

List of positive integer factors of 9357 that divides 9357 without a remainder.

1, 3, 3119

Step-4: Factors of 9366

List of positive integer factors of 9366 that divides 9357 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 223, 446, 669, 1338, 1561, 3122, 4683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9357 and 9366. The biggest common factor number is the GCF number.
So the greatest common factor 9357 and 9366 is 3.

Also check out the Least Common Multiple of 9357 and 9366