What is the Greatest Common Factor of 9360 and 9372?

Greatest common factor (GCF) of 9360 and 9372 is 12.

GCF(9360,9372) = 12

We will now calculate the prime factors of 9360 and 9372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9360 and 9372.

How to find the GCF of 9360 and 9372?

We will first find the prime factorization of 9360 and 9372. After we will calculate the factors of 9360 and 9372 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 9372

Prime factors of 9372 are 2, 3, 11, 71. Prime factorization of 9372 in exponential form is:

9372 = 2² × 3¹ × 11¹ × 71¹

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 9372

List of positive integer factors of 9372 that divides 9360 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9360 and 9372. The biggest common factor number is the GCF number.
So the greatest common factor 9360 and 9372 is 12.

Also check out the Least Common Multiple of 9360 and 9372