What is the Greatest Common Factor of 9321 and 9337?

Greatest common factor (GCF) of 9321 and 9337 is 1.

GCF(9321,9337) = 1

We will now calculate the prime factors of 9321 and 9337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9321 and 9337.

How to find the GCF of 9321 and 9337?

We will first find the prime factorization of 9321 and 9337. After we will calculate the factors of 9321 and 9337 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 9337

Prime factors of 9337 are 9337. Prime factorization of 9337 in exponential form is:

9337 = 9337¹

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 9337

List of positive integer factors of 9337 that divides 9321 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9321 and 9337. The biggest common factor number is the GCF number.
So the greatest common factor 9321 and 9337 is 1.

Also check out the Least Common Multiple of 9321 and 9337