What is the Greatest Common Factor of 9321 and 9336?

Greatest common factor (GCF) of 9321 and 9336 is 3.

GCF(9321,9336) = 3

We will now calculate the prime factors of 9321 and 9336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9321 and 9336.

How to find the GCF of 9321 and 9336?

We will first find the prime factorization of 9321 and 9336. After we will calculate the factors of 9321 and 9336 and find the biggest common factor number .

Step-1: Prime Factorization of 9321

Prime factors of 9321 are 3, 13, 239. Prime factorization of 9321 in exponential form is:

9321 = 3¹ × 13¹ × 239¹

Step-2: 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-3: Factors of 9321

List of positive integer factors of 9321 that divides 9321 without a remainder.

1, 3, 13, 39, 239, 717, 3107

Step-4: Factors of 9336

List of positive integer factors of 9336 that divides 9321 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9321 and 9336. The biggest common factor number is the GCF number.
So the greatest common factor 9321 and 9336 is 3.

Also check out the Least Common Multiple of 9321 and 9336