What is the Greatest Common Factor of 9381 and 9390?

Greatest common factor (GCF) of 9381 and 9390 is 3.

GCF(9381,9390) = 3

We will now calculate the prime factors of 9381 and 9390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9381 and 9390.

How to find the GCF of 9381 and 9390?

We will first find the prime factorization of 9381 and 9390. After we will calculate the factors of 9381 and 9390 and find the biggest common factor number .

Step-1: Prime Factorization of 9381

Prime factors of 9381 are 3, 53, 59. Prime factorization of 9381 in exponential form is:

9381 = 3¹ × 53¹ × 59¹

Step-2: Prime Factorization of 9390

Prime factors of 9390 are 2, 3, 5, 313. Prime factorization of 9390 in exponential form is:

9390 = 2¹ × 3¹ × 5¹ × 313¹

Step-3: Factors of 9381

List of positive integer factors of 9381 that divides 9381 without a remainder.

1, 3, 53, 59, 159, 177, 3127

Step-4: Factors of 9390

List of positive integer factors of 9390 that divides 9381 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 313, 626, 939, 1565, 1878, 3130, 4695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9381 and 9390. The biggest common factor number is the GCF number.
So the greatest common factor 9381 and 9390 is 3.

Also check out the Least Common Multiple of 9381 and 9390