What is the Greatest Common Factor of 9387 and 9394?

Greatest common factor (GCF) of 9387 and 9394 is 7.

GCF(9387,9394) = 7

We will now calculate the prime factors of 9387 and 9394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9387 and 9394.

How to find the GCF of 9387 and 9394?

We will first find the prime factorization of 9387 and 9394. After we will calculate the factors of 9387 and 9394 and find the biggest common factor number .

Step-1: Prime Factorization of 9387

Prime factors of 9387 are 3, 7, 149. Prime factorization of 9387 in exponential form is:

9387 = 3² × 7¹ × 149¹

Step-2: Prime Factorization of 9394

Prime factors of 9394 are 2, 7, 11, 61. Prime factorization of 9394 in exponential form is:

9394 = 2¹ × 7¹ × 11¹ × 61¹

Step-3: Factors of 9387

List of positive integer factors of 9387 that divides 9387 without a remainder.

1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129

Step-4: Factors of 9394

List of positive integer factors of 9394 that divides 9387 without a remainder.

1, 2, 7, 11, 14, 22, 61, 77, 122, 154, 427, 671, 854, 1342, 4697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9387 and 9394. The biggest common factor number is the GCF number.
So the greatest common factor 9387 and 9394 is 7.

Also check out the Least Common Multiple of 9387 and 9394