What is the Greatest Common Factor of 9360 and 9378?

Greatest common factor (GCF) of 9360 and 9378 is 18.

GCF(9360,9378) = 18

We will now calculate the prime factors of 9360 and 9378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9360 and 9378.

How to find the GCF of 9360 and 9378?

We will first find the prime factorization of 9360 and 9378. After we will calculate the factors of 9360 and 9378 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 9378

Prime factors of 9378 are 2, 3, 521. Prime factorization of 9378 in exponential form is:

9378 = 2¹ × 3² × 521¹

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 9378

List of positive integer factors of 9378 that divides 9360 without a remainder.

1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9360 and 9378. The biggest common factor number is the GCF number.
So the greatest common factor 9360 and 9378 is 18.

Also check out the Least Common Multiple of 9360 and 9378