What is the Greatest Common Factor of 9324 and 9338?

Greatest common factor (GCF) of 9324 and 9338 is 14.

GCF(9324,9338) = 14

We will now calculate the prime factors of 9324 and 9338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9324 and 9338.

How to find the GCF of 9324 and 9338?

We will first find the prime factorization of 9324 and 9338. After we will calculate the factors of 9324 and 9338 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 9338

Prime factors of 9338 are 2, 7, 23, 29. Prime factorization of 9338 in exponential form is:

9338 = 2¹ × 7¹ × 23¹ × 29¹

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 9338

List of positive integer factors of 9338 that divides 9324 without a remainder.

1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9324 and 9338. The biggest common factor number is the GCF number.
So the greatest common factor 9324 and 9338 is 14.

Also check out the Least Common Multiple of 9324 and 9338