What is the Greatest Common Factor of 9360 and 9370?

Greatest common factor (GCF) of 9360 and 9370 is 10.

GCF(9360,9370) = 10

We will now calculate the prime factors of 9360 and 9370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9360 and 9370.

How to find the GCF of 9360 and 9370?

We will first find the prime factorization of 9360 and 9370. After we will calculate the factors of 9360 and 9370 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 9370

Prime factors of 9370 are 2, 5, 937. Prime factorization of 9370 in exponential form is:

9370 = 2¹ × 5¹ × 937¹

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 9370

List of positive integer factors of 9370 that divides 9360 without a remainder.

1, 2, 5, 10, 937, 1874, 4685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9360 and 9370. The biggest common factor number is the GCF number.
So the greatest common factor 9360 and 9370 is 10.

Also check out the Least Common Multiple of 9360 and 9370