What is the Greatest Common Factor of 9381 and 9391?

Greatest common factor (GCF) of 9381 and 9391 is 1.

GCF(9381,9391) = 1

We will now calculate the prime factors of 9381 and 9391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9381 and 9391.

How to find the GCF of 9381 and 9391?

We will first find the prime factorization of 9381 and 9391. After we will calculate the factors of 9381 and 9391 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 9391

Prime factors of 9391 are 9391. Prime factorization of 9391 in exponential form is:

9391 = 9391¹

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 9391

List of positive integer factors of 9391 that divides 9381 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9381 and 9391. The biggest common factor number is the GCF number.
So the greatest common factor 9381 and 9391 is 1.

Also check out the Least Common Multiple of 9381 and 9391