What is the Greatest Common Factor of 9345 and 9360?

Greatest common factor (GCF) of 9345 and 9360 is 15.

GCF(9345,9360) = 15

We will now calculate the prime factors of 9345 and 9360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9345 and 9360.

How to find the GCF of 9345 and 9360?

We will first find the prime factorization of 9345 and 9360. After we will calculate the factors of 9345 and 9360 and find the biggest common factor number .

Step-1: Prime Factorization of 9345

Prime factors of 9345 are 3, 5, 7, 89. Prime factorization of 9345 in exponential form is:

9345 = 3¹ × 5¹ × 7¹ × 89¹

Step-2: 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-3: Factors of 9345

List of positive integer factors of 9345 that divides 9345 without a remainder.

1, 3, 5, 7, 15, 21, 35, 89, 105, 267, 445, 623, 1335, 1869, 3115

Step-4: Factors of 9360

List of positive integer factors of 9360 that divides 9345 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9345 and 9360. The biggest common factor number is the GCF number.
So the greatest common factor 9345 and 9360 is 15.

Also check out the Least Common Multiple of 9345 and 9360