What is the Greatest Common Factor of 9324 and 9335?

Greatest common factor (GCF) of 9324 and 9335 is 1.

GCF(9324,9335) = 1

We will now calculate the prime factors of 9324 and 9335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9324 and 9335.

How to find the GCF of 9324 and 9335?

We will first find the prime factorization of 9324 and 9335. After we will calculate the factors of 9324 and 9335 and find the biggest common factor number .

Step-1: Prime Factorization of 9324

Prime factors of 9324 are 2, 3, 7, 37. Prime factorization of 9324 in exponential form is:

9324 = 2² × 3² × 7¹ × 37¹

Step-2: Prime Factorization of 9335

Prime factors of 9335 are 5, 1867. Prime factorization of 9335 in exponential form is:

9335 = 5¹ × 1867¹

Step-3: Factors of 9324

List of positive integer factors of 9324 that divides 9324 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63, 74, 84, 111, 126, 148, 222, 252, 259, 333, 444, 518, 666, 777, 1036, 1332, 1554, 2331, 3108, 4662

Step-4: Factors of 9335

List of positive integer factors of 9335 that divides 9324 without a remainder.

1, 5, 1867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9324 and 9335. The biggest common factor number is the GCF number.
So the greatest common factor 9324 and 9335 is 1.

Also check out the Least Common Multiple of 9324 and 9335