What is the Greatest Common Factor of 9309 and 9324?

Greatest common factor (GCF) of 9309 and 9324 is 3.

GCF(9309,9324) = 3

We will now calculate the prime factors of 9309 and 9324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9309 and 9324.

How to find the GCF of 9309 and 9324?

We will first find the prime factorization of 9309 and 9324. After we will calculate the factors of 9309 and 9324 and find the biggest common factor number .

Step-1: Prime Factorization of 9309

Prime factors of 9309 are 3, 29, 107. Prime factorization of 9309 in exponential form is:

9309 = 3¹ × 29¹ × 107¹

Step-2: 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-3: Factors of 9309

List of positive integer factors of 9309 that divides 9309 without a remainder.

1, 3, 29, 87, 107, 321, 3103

Step-4: Factors of 9324

List of positive integer factors of 9324 that divides 9309 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9309 and 9324. The biggest common factor number is the GCF number.
So the greatest common factor 9309 and 9324 is 3.

Also check out the Least Common Multiple of 9309 and 9324