What is the Greatest Common Factor of 9336 and 9345?

Greatest common factor (GCF) of 9336 and 9345 is 3.

GCF(9336,9345) = 3

We will now calculate the prime factors of 9336 and 9345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9336 and 9345.

How to find the GCF of 9336 and 9345?

We will first find the prime factorization of 9336 and 9345. After we will calculate the factors of 9336 and 9345 and find the biggest common factor number .

Step-1: Prime Factorization of 9336

Prime factors of 9336 are 2, 3, 389. Prime factorization of 9336 in exponential form is:

9336 = 2³ × 3¹ × 389¹

Step-2: Prime Factorization of 9345

Prime factors of 9345 are 3, 5, 7, 89. Prime factorization of 9345 in exponential form is:

9345 = 3¹ × 5¹ × 7¹ × 89¹

Step-3: Factors of 9336

List of positive integer factors of 9336 that divides 9336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668

Step-4: Factors of 9345

List of positive integer factors of 9345 that divides 9336 without a remainder.

1, 3, 5, 7, 15, 21, 35, 89, 105, 267, 445, 623, 1335, 1869, 3115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9336 and 9345. The biggest common factor number is the GCF number.
So the greatest common factor 9336 and 9345 is 3.

Also check out the Least Common Multiple of 9336 and 9345