What is the Greatest Common Factor of 9360 and 9371?

Greatest common factor (GCF) of 9360 and 9371 is 1.

GCF(9360,9371) = 1

We will now calculate the prime factors of 9360 and 9371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9360 and 9371.

How to find the GCF of 9360 and 9371?

We will first find the prime factorization of 9360 and 9371. After we will calculate the factors of 9360 and 9371 and find the biggest common factor number .

Step-1: Prime Factorization of 9360

Prime factors of 9360 are 2, 3, 5, 13. Prime factorization of 9360 in exponential form is:

9360 = 2⁴ × 3² × 5¹ × 13¹

Step-2: Prime Factorization of 9371

Prime factors of 9371 are 9371. Prime factorization of 9371 in exponential form is:

9371 = 9371¹

Step-3: Factors of 9360

List of positive integer factors of 9360 that divides 9360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 104, 117, 120, 130, 144, 156, 180, 195, 208, 234, 240, 260, 312, 360, 390, 468, 520, 585, 624, 720, 780, 936, 1040, 1170, 1560, 1872, 2340, 3120, 4680

Step-4: Factors of 9371

List of positive integer factors of 9371 that divides 9360 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9360 and 9371. The biggest common factor number is the GCF number.
So the greatest common factor 9360 and 9371 is 1.

Also check out the Least Common Multiple of 9360 and 9371